Paper Citation Record · LEDGER

Heat kernel for higher-order differential operators and generalized exponential functions

As of 16 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 4 inbound Pith citation observations for arXiv:1908.02161.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02161 v2

Coverage vector

measured 86 of 86 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:09.235662Z

measured 90 of 90 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:08.856314Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T19:41:10.719652Z

Reference resolution

86 of 86 outbound references displayed

verified exact6
verified fuzzy55
unresolved25
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c129d85c-665c-436a-bf97-fc6c5de4811a · outbound

This paper cites Heat kernel for higher-order differential operators and generalized exponential functions.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel for higher-order differential operators and generalized exponential functions

Reference 1

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Unavailable: canonical work link unavailable.

Observation f53a9764-d05d-4b7d-ab01-95f9778ff7b0 · outbound

This paper cites For ν = 1 this integral deﬁnes the well-known fundamental solution (1.2).

Heat kernel for higher-order differential operators and generalized exponential functions For ν = 1 this integral deﬁnes the well-known fundamental solution (1.2)

Reference 2

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Observation 60ead200-22b8-4b03-80ab-e38c85ee0f39 · outbound

This paper cites This rep- resentation can be obtained by converting the series (1.4) s Cw w C ××××××× lk 0−1 × × × × α rkα+ν FIG.

Heat kernel for higher-order differential operators and generalized exponential functions This rep- resentation can be obtained by converting the series (1.4) s Cw w C ××××××× lk 0−1 × × × × α rkα+ν FIG

Reference 3

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Observation eef01cdf-d47d-4b9b-93c1-115ca17bf0e7 · outbound

This paper cites The series (1.4) diverges for|z|> 1/4 due to the existence of a pole at the point z = 1/4.

Heat kernel for higher-order differential operators and generalized exponential functions The series (1.4) diverges for|z|> 1/4 due to the existence of a pole at the point z = 1/4

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:08.869716Z

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Unavailable: canonical work link unavailable.

Observation 5dc79188-b82f-467b-9e84-eefefb5a502b · outbound

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Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:08.874386Z

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Unavailable: canonical work link unavailable.

Observation 95116628-63c6-462a-9f99-8b28d00b54c1 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:08.878874Z

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Observation 109d2480-a163-428b-8c5c-d93768b5c6ca · outbound

This paper cites func- torial property.

Heat kernel for higher-order differential operators and generalized exponential functions func- torial property

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:08.882662Z

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Observation 90c05231-0f43-49ca-ae00-40487830f654 · outbound

This paper cites Renormalization of higher-derivative quan- tum gravity,.

Heat kernel for higher-order differential operators and generalized exponential functions Renormalization of higher-derivative quan- tum gravity,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.386328Z

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Observation cf12312c-5c74-456b-9fb2-870c00b2135b · outbound

This paper cites Quantum ﬁeld theory in curved space- time,.

Heat kernel for higher-order differential operators and generalized exponential functions Quantum ﬁeld theory in curved space- time,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.375782Z

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Observation b373128f-10ea-46ef-af8f-e48c22d3ddb0 · outbound

This paper cites Background ﬁeld calculations in curved spacetime (I). General formalism and application to scalar ﬁelds,.

Heat kernel for higher-order differential operators and generalized exponential functions Background ﬁeld calculations in curved spacetime (I). General formalism and application to scalar ﬁelds,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.363783Z

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Observation 93d42d58-3fde-431a-80c8-946a8def43de · outbound

This paper cites Proof of summed form of proper time expansion for propagator in curved space-time,.

Heat kernel for higher-order differential operators and generalized exponential functions Proof of summed form of proper time expansion for propagator in curved space-time,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.351449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d8d575f4-5c04-4c76-969f-50fc57920fd9 · outbound

This paper cites Background Fermi ﬁelds and Schwinger–DeWitt proper-time method,.

Heat kernel for higher-order differential operators and generalized exponential functions Background Fermi ﬁelds and Schwinger–DeWitt proper-time method,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.339332Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 397c2bb8-bdc0-4e6d-b82a-c732d65a202c · outbound

This paper cites The generalized Schwinger–DeWitt technique in gauge theories and quan- tum gravity,.

Heat kernel for higher-order differential operators and generalized exponential functions The generalized Schwinger–DeWitt technique in gauge theories and quan- tum gravity,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.327633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c026c5e8-0d36-47a7-a239-21c63684e736 · outbound

This paper cites Beyond the Schwinger–DeWitt technique: Converting loops into trees and in-in currents,.

Heat kernel for higher-order differential operators and generalized exponential functions Beyond the Schwinger–DeWitt technique: Converting loops into trees and in-in currents,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.315907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d8cfe0e-2aa5-4875-a959-f3dbee519f55 · outbound

This paper cites Covariant pertur- bation theory (II). Second order in the curvature. General algorithms,.

Heat kernel for higher-order differential operators and generalized exponential functions Covariant pertur- bation theory (II). Second order in the curvature. General algorithms,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.304043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0cf56aa4-330d-4638-ad76-b5d265f222de · outbound

This paper cites Covariant Perturbation Theory (IV). Third Order in the Curvature.

Heat kernel for higher-order differential operators and generalized exponential functions Covariant Perturbation Theory (IV). Third Order in the Curvature

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:08.923108Z

Source-reported events for the cited work

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Observation abc1f008-61e9-4865-8812-8cec3a0d64ac · outbound

This paper cites Nonperturbative late time asymptotics for the heat kernel in gravity theory,.

Heat kernel for higher-order differential operators and generalized exponential functions Nonperturbative late time asymptotics for the heat kernel in gravity theory,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.291880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66449ff4-7503-49be-9156-81d4018c57e2 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:10.278273Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 127364d0-ce83-4930-95d8-54d09b0d021d · outbound

This paper cites Heat kernel approach in quantum ﬁeld theory,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel approach in quantum ﬁeld theory,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.266996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aa6b7615-d9f3-4391-bfb7-aa1f67d97d27 · outbound

This paper cites Heat kernel expansion: user’s man- ual,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel expansion: user’s man- ual,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.254073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 24bc52f6-6096-4b7c-b9d1-da3f2b4caa48 · outbound

This paper cites Hadamard, Le Probl` eme de Cauchy et les `Equations aux d ´Eriv´ ees Partielles Lin´ eaires Hyperboliques(Her- mann et Cie, Paris, 1932).

Heat kernel for higher-order differential operators and generalized exponential functions Hadamard, Le Probl` eme de Cauchy et les `Equations aux d ´Eriv´ ees Partielles Lin´ eaires Hyperboliques(Her- mann et Cie, Paris, 1932)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.242040Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2583fef4-9ca9-4863-b059-51e129102154 · outbound

This paper cites Some properties of the eigenfunctions of the Laplace-operator on Rieman- nian manifolds,.

Heat kernel for higher-order differential operators and generalized exponential functions Some properties of the eigenfunctions of the Laplace-operator on Rieman- nian manifolds,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.228939Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 55e56607-a831-4819-a0a3-418371e366f9 · outbound

This paper cites Eigenfunctions on Riemannian manifolds,.

Heat kernel for higher-order differential operators and generalized exponential functions Eigenfunctions on Riemannian manifolds,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.217269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f31f3610-475c-4c8f-9a53-bd5d96aaff82 · outbound

This paper cites Complex powers of an elliptic operator,.

Heat kernel for higher-order differential operators and generalized exponential functions Complex powers of an elliptic operator,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.204205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 09e21fc5-3228-43df-a04e-2bae7277bf5c · outbound

This paper cites The spectral geometry of a Riemannian manifold,.

Heat kernel for higher-order differential operators and generalized exponential functions The spectral geometry of a Riemannian manifold,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.192598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0a12bff1-3ca0-47de-9d51-94864d0ac1fd · outbound

This paper cites Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian,.

Heat kernel for higher-order differential operators and generalized exponential functions Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.181697Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f8f3345-6c7a-4f37-b4c7-35554be97005 · outbound

This paper cites Die Eigenzeit in der Klassischen- und in der Quantennechanik,.

Heat kernel for higher-order differential operators and generalized exponential functions Die Eigenzeit in der Klassischen- und in der Quantennechanik,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.171190Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 18634d87-44b2-4701-b7c5-59e09cc8a8ab · outbound

This paper cites On gauge invariance and vacuum polar- ization,.

Heat kernel for higher-order differential operators and generalized exponential functions On gauge invariance and vacuum polar- ization,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.159597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fea025e5-c059-44c4-b8cc-c0ffbfd782d7 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:10.147123Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3ecc2528-4adb-4a99-9c4d-e87022000e09 · outbound

This paper cites Logarithmic terms in asymptotic expansions of heat operator traces,.

Heat kernel for higher-order differential operators and generalized exponential functions Logarithmic terms in asymptotic expansions of heat operator traces,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.134270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c59710f-8524-4a9b-8d8d-a343105ff071 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:10.121668Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 561fc8cb-5fa2-440a-b46c-72652ee26b22 · outbound

This paper cites Heat kernel asymptotics for roots of generalized Laplacians,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel asymptotics for roots of generalized Laplacians,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.109351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ab2261fe-db7a-4ad6-8d8d-758b51c6a61f · outbound

This paper cites Heat kernel estimates for the fractional Laplacian with Dirichlet conditions.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.460495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation caa82c1b-3a31-4340-8f5c-9897f0fafc35 · outbound

This paper cites Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.440095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 92115e51-7ff9-41de-b94a-1b56356cc285 · outbound

This paper cites The spectral geometry of the higher order Laplacian,.

Heat kernel for higher-order differential operators and generalized exponential functions The spectral geometry of the higher order Laplacian,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.097183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48d6ec23-8016-4d00-b4a7-c29d063ba8b3 · outbound

This paper cites Invariants of the heat equa- tion,.

Heat kernel for higher-order differential operators and generalized exponential functions Invariants of the heat equa- tion,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.086361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 104e3998-37b3-442b-8472-3eef4575a7d5 · outbound

This paper cites Heat equation asymptotics of “nonminimal.

Heat kernel for higher-order differential operators and generalized exponential functions Heat equation asymptotics of “nonminimal

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.075149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b431b546-0531-4aa4-b6ca-0b5e8ef0f938 · outbound

This paper cites Heat equation asymptotics of elliptic operators with non-scalar leading symbol,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat equation asymptotics of elliptic operators with non-scalar leading symbol,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.062748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a4633117-3df5-44dd-8048-9e0f9b1bd4a3 · outbound

This paper cites Renormalizable asymptotically free quantum theory of gravity,.

Heat kernel for higher-order differential operators and generalized exponential functions Renormalizable asymptotically free quantum theory of gravity,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.050231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 118c43e5-8e42-4f04-a5af-c9ce13d19d07 · outbound

This paper cites Asymptotic free- dom in higher-derivative quantum gravity,.

Heat kernel for higher-order differential operators and generalized exponential functions Asymptotic free- dom in higher-derivative quantum gravity,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.037266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 207ad572-829d-4641-8d05-b87c83e19a35 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:10.024852Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 220b12a8-32c4-4759-8de4-c49558b38e99 · outbound

This paper cites Super-renormalizable Multidimensional Quantum Gravity.

Heat kernel for higher-order differential operators and generalized exponential functions Super-renormalizable Multidimensional Quantum Gravity

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:09.044416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8904db86-a717-4529-9e88-c766e9cb7880 · outbound

This paper cites Heat kernel methods for Lifshitz theories.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel methods for Lifshitz theories

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:09.049103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8542db27-e5ed-4116-8a7c-38cdcf7e7a77 · outbound

This paper cites Ho\v{r}ava gravity is asymptotically free (in 2+1 dimensions).

Heat kernel for higher-order differential operators and generalized exponential functions Ho\v{r}ava gravity is asymptotically free (in 2+1 dimensions)

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:09.052882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed3e53e7-32bb-463f-9c9a-225ebc78493f · outbound

This paper cites Higher-derivative op- erators and DeWitts WKB ansatz,.

Heat kernel for higher-order differential operators and generalized exponential functions Higher-derivative op- erators and DeWitts WKB ansatz,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.012419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6bfb56bd-6c8c-4d19-a0bf-c9bfcdd36089 · outbound

This paper cites New algorithm for asymptotic expansions of the heat kernel,.

Heat kernel for higher-order differential operators and generalized exponential functions New algorithm for asymptotic expansions of the heat kernel,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:10.000278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 50226bdf-2c04-4ce2-802a-a6708e362660 · outbound

This paper cites One-loop coun- terterms for the dimensional regularization of arbi- trary Lagrangians,.

Heat kernel for higher-order differential operators and generalized exponential functions One-loop coun- terterms for the dimensional regularization of arbi- trary Lagrangians,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.988371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4630d320-5649-4a86-9c91-1ca739901844 · outbound

This paper cites Singularities of Green functions of the products of the Laplace type operators,.

Heat kernel for higher-order differential operators and generalized exponential functions Singularities of Green functions of the products of the Laplace type operators,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.975288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation faa3b6e5-7d13-4ec1-bfb3-8081c87d5c34 · outbound

This paper cites Green functions of higher-order diﬀer- ential operators,.

Heat kernel for higher-order differential operators and generalized exponential functions Green functions of higher-order diﬀer- ential operators,

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.961556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 59199e57-74e5-4b55-a65b-5b3796906e7d · outbound

This paper cites New algorithm for computing the coef- ﬁcients in the heat kernel expansion,.

Heat kernel for higher-order differential operators and generalized exponential functions New algorithm for computing the coef- ﬁcients in the heat kernel expansion,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.946820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 89c3fe3f-f029-4d79-b0c4-e15b5fb1330f · outbound

This paper cites Seeley–Gilkey coeﬃcients for fourth- order operators on a Riemannian manifold,.

Heat kernel for higher-order differential operators and generalized exponential functions Seeley–Gilkey coeﬃcients for fourth- order operators on a Riemannian manifold,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.932842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 47f54894-f569-49f3-a09d-40d8865cf008 · outbound

This paper cites Asymptotics of the heat kernel for non- minimal diﬀerential operators,.

Heat kernel for higher-order differential operators and generalized exponential functions Asymptotics of the heat kernel for non- minimal diﬀerential operators,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.919781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4835bd95-12cb-414d-acc4-8d1b137111aa · outbound

This paper cites Local heat ker- nel asymptotics for nonminimal diﬀerential operators,.

Heat kernel for higher-order differential operators and generalized exponential functions Local heat ker- nel asymptotics for nonminimal diﬀerential operators,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.906866Z

Source-reported events for the cited work

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Observation 4e0f3151-08fb-4f80-880f-23fda0532873 · outbound

This paper cites Heat kernel expansion for nonminimal diﬀerential oper- ations and manifolds with torsion,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel expansion for nonminimal diﬀerential oper- ations and manifolds with torsion,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.895810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d5e2b959-6802-4aeb-9370-cec05f83cabe · outbound

This paper cites Heat kernel expansion for operators con- taining a root of the Laplace operator,.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel expansion for operators con- taining a root of the Laplace operator,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.883142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e926ba9a-5d87-4dc7-a4ca-2640361c18ce · outbound

This paper cites Superdiﬀusion and stable laws,.

Heat kernel for higher-order differential operators and generalized exponential functions Superdiﬀusion and stable laws,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.870324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5ce7cbbf-3307-4256-b3cc-fe09011322e5 · outbound

This paper cites Heat kernel for flat generalized Laplacians with anisotropic scaling.

Heat kernel for higher-order differential operators and generalized exponential functions Heat kernel for flat generalized Laplacians with anisotropic scaling

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.379014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 558680ad-d506-43a6-b3ec-59d3abba6858 · outbound

This paper cites The asymptotic expansion of the gener- alized hypergeometric function,.

Heat kernel for higher-order differential operators and generalized exponential functions The asymptotic expansion of the gener- alized hypergeometric function,

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.857386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a8dcbf6d-c495-42bc-934b-4b9b5a00ad35 · outbound

This paper cites The asymptotic expansion of the general- ized hypergeometric function,.

Heat kernel for higher-order differential operators and generalized exponential functions The asymptotic expansion of the general- ized hypergeometric function,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.844800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0cfee1e5-908d-42ac-bbfa-3e3c76239765 · outbound

This paper cites Asymptotic expansions and analytic continuations for a class of Barnes-integrals,.

Heat kernel for higher-order differential operators and generalized exponential functions Asymptotic expansions and analytic continuations for a class of Barnes-integrals,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.831865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 23585ba5-216d-4fd8-81d6-0ac97ecb3143 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.820679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e13ebde5-ac87-4043-b015-20f432fd9cdb · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.807036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 76dee2f7-9921-47a8-9e90-f3545fd59da0 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.793535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0a7a7ed4-2608-40dc-80e3-65d15b9c0dc5 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.779197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce57d307-c9be-4c90-b4a3-2ae007f986f3 · outbound

This paper cites Anti–de Sitter space and holography,.

Heat kernel for higher-order differential operators and generalized exponential functions Anti–de Sitter space and holography,

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.766841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation eb3b5a28-3b39-49b1-949a-1527b027ede9 · outbound

This paper cites D = 4 super Yang– Mills, D = 5 gauged supergravity and D = 4 confor- mal supergravity,.

Heat kernel for higher-order differential operators and generalized exponential functions D = 4 super Yang– Mills, D = 5 gauged supergravity and D = 4 confor- mal supergravity,

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.742126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2b2ca4f4-ba1d-4ac9-ae34-a20195dbf2c8 · outbound

This paper cites Strong inter- actions and stability in the DGP model,.

Heat kernel for higher-order differential operators and generalized exponential functions Strong inter- actions and stability in the DGP model,

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.724989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3041511b-9538-42b7-b964-2f61487fd255 · outbound

This paper cites Quantum eﬀective action in spacetimes with branes and boundaries,.

Heat kernel for higher-order differential operators and generalized exponential functions Quantum eﬀective action in spacetimes with branes and boundaries,

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.710378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 83dfbdd5-7c52-48dc-9081-49c4979e5037 · outbound

This paper cites The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models.

Heat kernel for higher-order differential operators and generalized exponential functions The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.358031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fcafcb0e-ebc0-49a1-9c31-b42a518faa95 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 70

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.695156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 454c4867-c02f-48c2-bfb0-37785f8acc38 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.679522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0c60d7d4-22ad-45dc-8f5f-e5e9571b61f1 · outbound

This paper cites The fundamental solutions for the frac- tional diﬀusion-wave equation,.

Heat kernel for higher-order differential operators and generalized exponential functions The fundamental solutions for the frac- tional diﬀusion-wave equation,

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.645607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 744cec6f-15cb-4878-a118-b90837c77cfa · outbound

This paper cites Wright func- tions as scale-invariant solutions ot the diﬀusion-wave equation,.

Heat kernel for higher-order differential operators and generalized exponential functions Wright func- tions as scale-invariant solutions ot the diﬀusion-wave equation,

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.629972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce1f8f0b-b1ba-4f13-9604-d04132ea3d9d · outbound

This paper cites The fun- damental solution of the space-time fractional diﬀusion equation,.

Heat kernel for higher-order differential operators and generalized exponential functions The fun- damental solution of the space-time fractional diﬀusion equation,

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.616443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 064e66ca-4447-4225-a30e-abe9b1ebde6b · outbound

This paper cites The semiclassical expansion,.

Heat kernel for higher-order differential operators and generalized exponential functions The semiclassical expansion,

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.602943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d760e2ff-ae8e-4c10-a04c-733c00f8359c · outbound

This paper cites Unitarity approach to quantum cos- mology,.

Heat kernel for higher-order differential operators and generalized exponential functions Unitarity approach to quantum cos- mology,

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.589392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f48450f-dc56-4173-852c-3e0bbbe69a85 · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.576171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c86ecd53-0d6e-4f53-a6e3-6c1f11b65a6d · outbound

This paper cites The heat kernel expansion and recurrence relations for higher order minimal operators,.

Heat kernel for higher-order differential operators and generalized exponential functions The heat kernel expansion and recurrence relations for higher order minimal operators,

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.562581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1b145837-39ef-42dc-a02d-2885f6a132ad · outbound

This paper cites Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity.

Heat kernel for higher-order differential operators and generalized exponential functions Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:09.200525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62f0c487-4141-4675-a375-921c694ec687 · outbound

This paper cites Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds.

Heat kernel for higher-order differential operators and generalized exponential functions Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-14T14:59:09.205315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c8df2fb-197f-4d90-aaec-6db610ba2ec3 · outbound

This paper cites Fractional Derivative Regularization in QFT.

Heat kernel for higher-order differential operators and generalized exponential functions Fractional Derivative Regularization in QFT

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.301694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 34f99a77-27c0-4bd9-a9fa-e9f0250828b3 · outbound

This paper cites The asymptotic expansion of Legendre function of large degree and order,.

Heat kernel for higher-order differential operators and generalized exponential functions The asymptotic expansion of Legendre function of large degree and order,

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.549750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7a54a1c-967c-43b9-9400-59c2868991dc · outbound

This paper cites an unresolved cited work.

Heat kernel for higher-order differential operators and generalized exponential functions Unresolved cited work

Reference 83

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:59:09.537305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 14cdb68c-aa74-4bcd-a688-98460a59ea58 · outbound

This paper cites On the gener- alized Wright function,.

Heat kernel for higher-order differential operators and generalized exponential functions On the gener- alized Wright function,

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.522193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0fe6f169-bc1e-44dc-bec0-30ee9b51202f · outbound

This paper cites Fractional calculus of the generalized Wright function,.

Heat kernel for higher-order differential operators and generalized exponential functions Fractional calculus of the generalized Wright function,

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:59:09.506037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c908409d-c80a-4713-b79d-935693f1430b · outbound

This paper cites Fractional calculus and generalized Mittag-Leffler type functions.

Heat kernel for higher-order differential operators and generalized exponential functions Fractional calculus and generalized Mittag-Leffler type functions

Reference 86

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:59:09.280374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation c129d85c-665c-436a-bf97-fc6c5de4811a · inbound