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Paper Citation Record · LEDGER

Squarefree numbers in short intervals: explicit and formalized

As of 11 August 2026, this Paper Citation Record lists 100 of 300 outbound references and 0 inbound Pith citation observations for arXiv:2608.06682.

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

pith.paper-citation-record.v1
2608.06682 v1

Coverage vector

measured 100 of 300 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:33.548664Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 300 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed9b8e90-a277-40ea-a081-93dad2a4050b · outbound

This paper cites Squarefree numbers in short intervals , url =.

Squarefree numbers in short intervals: explicit and formalized Squarefree numbers in short intervals , url =

Reference 1

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Squarefree numbers in short intervals: explicit and formalized 2024 , month = jan, number =

Reference 2

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This paper cites Rydin Myerson and Pankaj Vishe , display-string =.

Squarefree numbers in short intervals: explicit and formalized Rydin Myerson and Pankaj Vishe , display-string =

Reference 3

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Squarefree numbers in short intervals: explicit and formalized Number theory (

Reference 4

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This paper cites Non-split sums of coefficients of.

Squarefree numbers in short intervals: explicit and formalized Non-split sums of coefficients of

Reference 5

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Squarefree numbers in short intervals: explicit and formalized Acta Math

Reference 6

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Squarefree numbers in short intervals: explicit and formalized Opera de cribro , url =

Reference 7

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 8

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 9

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 10

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Squarefree numbers in short intervals: explicit and formalized Analytic number theory , url =

Reference 11

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Squarefree numbers in short intervals: explicit and formalized Primes represented by incomplete norm forms , url =

Reference 12

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Squarefree numbers in short intervals: explicit and formalized Linear equations in primes , url =

Reference 13

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Squarefree numbers in short intervals: explicit and formalized II , author =

Reference 14

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 15

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Squarefree numbers in short intervals: explicit and formalized The quantitative behaviour of polynomial orbits on nilmanifolds , url =

Reference 16

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 17

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 18

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Squarefree numbers in short intervals: explicit and formalized and Ruzsa, I

Reference 19

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Squarefree numbers in short intervals: explicit and formalized , TITLE =

Reference 20

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Squarefree numbers in short intervals: explicit and formalized and Perelli, A

Reference 21

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Squarefree numbers in short intervals: explicit and formalized New large value estimates for Dirichlet polynomials , url =

Reference 22

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Squarefree numbers in short intervals: explicit and formalized L^1 means of exponential sums with multiplicative coefficients

Reference 23

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Squarefree numbers in short intervals: explicit and formalized On gaps between squarefree numbers

Reference 24

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 25

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Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 26

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Squarefree numbers in short intervals: explicit and formalized Explicit Formulas for the Waldspurger and Bessel Models , url =

Reference 27

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Squarefree numbers in short intervals: explicit and formalized Effective Multiplicity One for GL(n) , url =

Reference 28

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Squarefree numbers in short intervals: explicit and formalized The fourth moment of the zeta-function , url =

Reference 29

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Squarefree numbers in short intervals: explicit and formalized Iwahori-Hecke Algebras

Reference 30

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Squarefree numbers in short intervals: explicit and formalized On the realisation of maximal simple types and epsilon factors of pairs

Reference 31

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Squarefree numbers in short intervals: explicit and formalized A motivated introduction to character sheaves and the orbit method for unipotent groups in positive characteristic

Reference 32

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one Conjectures

Reference 33

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Squarefree numbers in short intervals: explicit and formalized The sixth power moment of Dirichlet L-functions

Reference 34

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Squarefree numbers in short intervals: explicit and formalized Quantum unique ergodicity for

Reference 35

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one theorems for Fourier-Jacobi models

Reference 36

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 37

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Squarefree numbers in short intervals: explicit and formalized Recent developments in mathematical Quantum Chaos

Reference 38

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Squarefree numbers in short intervals: explicit and formalized and Michel, Philippe and Venkatesh, Akshay , booktitle =

Reference 39

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no resolver link, observed 2026-08-10T22:35:33.069854Z

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source=arxiv_source observed=2026-08-10T22:35:33.069854Z digest=sha256:023aeff39982cc906b29e80bfd8bc519206c5b87dfb20cd485749162b069bb8a

Observation d9aa4919-be2e-4407-a980-ec97d82b72a2 · outbound

This paper cites Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2.

Squarefree numbers in short intervals: explicit and formalized Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2

Reference 40

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source=arxiv_source observed=2026-08-10T22:35:33.077255Z digest=sha256:f604b16ba25a41da98dd19de8a91f63fe2cde2842cd20db1feb3fa5204eacd13

Observation 4f68c7ca-48ec-40c7-9da7-dcb75adc2d12 · outbound

This paper cites Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =.

Squarefree numbers in short intervals: explicit and formalized Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =

Reference 41

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source=arxiv_source observed=2026-08-10T22:35:33.086622Z digest=sha256:21011b20d89d236ec2d0c82c45a6d03da85bd77ed1aaafe5ee42976a51767ead

Observation f73d7de5-2a50-4d16-8193-fd36860d24c1 · outbound

This paper cites Computing power series expansions of modular forms.

Squarefree numbers in short intervals: explicit and formalized Computing power series expansions of modular forms

Reference 42

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source=arxiv_source observed=2026-08-10T22:35:33.098562Z digest=sha256:cacbbed92315a63963f2811d302fb128ae5d7a93d5e1a2f3f7b721cf2937ca01

Observation 09d1e4c8-91b9-4707-9a92-79dcb9387b76 · outbound

This paper cites The regularized.

Squarefree numbers in short intervals: explicit and formalized The regularized

Reference 43

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.108647Z digest=sha256:ce1b31c45b9589688bd3428ae2aabc9d9e80a4ea0b2a62900cb798966035caf6

Observation e2e0c1d7-093a-4f9d-878e-14fb7edae78a · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 44

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source=arxiv_source observed=2026-08-10T22:35:33.114786Z digest=sha256:faad168b7368d5497c88df48d0d91662a6114e2f3d0721e5b634926a8eae6038

Observation 1efec2df-5057-4968-b6ec-4c22dbaf352f · outbound

This paper cites Unitary representations of real reductive groups.

Squarefree numbers in short intervals: explicit and formalized Unitary representations of real reductive groups

Reference 45

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source=arxiv_source observed=2026-08-10T22:35:33.120553Z digest=sha256:d7a3540a3ab4cccb8edd23964b4b9d6323007914baa8dfbfd7edf65f8370c4c6

Observation c5f779c6-4b5d-4410-95b3-49d6a77a56eb · outbound

This paper cites and Zhao, P.

Squarefree numbers in short intervals: explicit and formalized and Zhao, P

Reference 46

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.127695Z digest=sha256:b39c2cf5cf2eed1a76c0ab8258b3114b59978401df41742842fd463650804389

Observation 0fbbd5f2-928f-4da0-97d0-1fc07b44bac3 · outbound

This paper cites A Note on the Fourier coefficients of half-integral weight modular forms.

Squarefree numbers in short intervals: explicit and formalized A Note on the Fourier coefficients of half-integral weight modular forms

Reference 47

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local_arxiv, observed 2026-08-10T22:35:35.992570Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.140432Z digest=sha256:3b8c1a14927507d0a6d37e9d3129f8aa2541b4d705e9dbab30e84cbf24c88383

Observation 44de3267-b445-4d2d-96e5-de677fc657cb · outbound

This paper cites The Whittaker period formula on Metaplectic SL(2).

Squarefree numbers in short intervals: explicit and formalized The Whittaker period formula on Metaplectic SL(2)

Reference 48

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source=arxiv_source observed=2026-08-10T22:35:33.153142Z digest=sha256:28ab4884b047418dcb4337bc37fc7228f319e41855e65a61ad120972521232ca

Observation 337a26f3-a563-408b-aa84-31bde6cd6fa1 · outbound

This paper cites Families of.

Squarefree numbers in short intervals: explicit and formalized Families of

Reference 49

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no resolver link, observed 2026-08-10T22:35:33.159343Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.159343Z digest=sha256:fbed35c6e3288f40f880bb4d5941b963c5fc9cfd6ac9f22c30d941c067839fc9

Observation 4284028b-9402-4606-a2d6-03f947ec5383 · outbound

This paper cites On the sup-norm of SL(3) Hecke-Maass cusp forms.

Squarefree numbers in short intervals: explicit and formalized On the sup-norm of SL(3) Hecke-Maass cusp forms

Reference 50

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source=arxiv_source observed=2026-08-10T22:35:33.166060Z digest=sha256:fca22774e68b7deb3e1cddd6979b5c874cad00ad5aae9049fa8935e29df332ed

Observation 9b1f3624-c2fb-4ced-8e5b-af06bd551636 · outbound

This paper cites Subconvexity for sup-norms of cusp forms on.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for sup-norms of cusp forms on

Reference 51

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.964034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.175308Z digest=sha256:f31b6a85fbf3895f79d99db48b0af4ec6881df62b5bb83aa185fa5cd8a4777d3

Observation 3a39bfe1-816e-47a2-90f2-d4b0d33086e4 · outbound

This paper cites Upper bounds for Maass forms on semisimple groups.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for Maass forms on semisimple groups

Reference 52

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.182008Z digest=sha256:a8ad3f4e1df259702b2569eaaddcb3aeef2c226d377e29b3cb9ddcf5271a55b4

Observation 8b2b389b-ad72-4fd1-bbe7-f6270e63ac7d · outbound

This paper cites Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli.

Squarefree numbers in short intervals: explicit and formalized Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli

Reference 53

Resolution
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no resolver link, observed 2026-08-10T22:35:33.190283Z

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source=arxiv_source observed=2026-08-10T22:35:33.190283Z digest=sha256:e7e23f84f3de2774bbe0c0a4533db1a7d87264040f7e3919abbb0b49acc369a9

Observation e22263fe-f872-441c-a9c7-fcdf93e51ca3 · outbound

This paper cites Triple product formula and mass equidistribution on modular curves of level N.

Squarefree numbers in short intervals: explicit and formalized Triple product formula and mass equidistribution on modular curves of level N

Reference 54

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no resolver link, observed 2026-08-10T22:35:33.198379Z

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source=arxiv_source observed=2026-08-10T22:35:33.198379Z digest=sha256:23fca92c4dee1a9a18329bb5da24365b47cb838dd34cb5b492d81da00f38f53a

Observation b0489df5-3cc5-48f7-ba65-118e2bd07921 · outbound

This paper cites Large values of cusp forms on GL(n).

Squarefree numbers in short intervals: explicit and formalized Large values of cusp forms on GL(n)

Reference 55

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.207692Z digest=sha256:c75d4dc92be0ec18345a3bf1e096d863b1f491084643aff5cc7e2aae26cd170e

Observation 20d2b033-0f04-45b5-a698-1755dc6b7cdd · outbound

This paper cites Integer points and their orthogonal lattices , url =.

Squarefree numbers in short intervals: explicit and formalized Integer points and their orthogonal lattices , url =

Reference 56

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.218428Z digest=sha256:bc42b960c9a240d13265588e3e0677f58ec8ef94be8b0ea955995d8b2850e580

Observation f2df9296-9c97-4bf8-a6ef-e7f8d77dfcac · outbound

This paper cites The amplification method in the context of GL(n) automorphic forms , url =.

Squarefree numbers in short intervals: explicit and formalized The amplification method in the context of GL(n) automorphic forms , url =

Reference 57

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.223420Z digest=sha256:497bdcc393251fe86d12ba3f20526d300dda967ddf5f426282ab9e56871aa60f

Observation 52c67283-469e-4247-b642-2a02e31b03fc · outbound

This paper cites On the subconvexity problem for L-functions on GL(3).

Squarefree numbers in short intervals: explicit and formalized On the subconvexity problem for L-functions on GL(3)

Reference 58

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no resolver link, observed 2026-08-10T22:35:33.230427Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.230427Z digest=sha256:7174172cbfd5313f9d5629448e16aeaf4e0956e460a3ac496962487502db0d3a

Observation 18af4b2e-f36b-475c-a9e6-29fb31dab51a · outbound

This paper cites Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n).

Squarefree numbers in short intervals: explicit and formalized Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)

Reference 59

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no resolver link, observed 2026-08-10T22:35:33.238100Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.238100Z digest=sha256:d23c4b5f982fc7f07d39e284e57a7da4eaeaeacbf71f599e7130e7fd542b0dc5

Observation 97b2d4ad-ba50-42de-bdbf-4f6abc7ce077 · outbound

This paper cites Effective equidistribution of shears and applications , url =.

Squarefree numbers in short intervals: explicit and formalized Effective equidistribution of shears and applications , url =

Reference 60

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no resolver link, observed 2026-08-10T22:35:33.245549Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.245549Z digest=sha256:cb8bbabc95cac2aa3fc4d984c9769cec3fdc027ab5ef24a672f7e6a8fbe4903f

Observation b14a56ba-c050-4488-97e5-6707e4e83700 · outbound

This paper cites A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case.

Squarefree numbers in short intervals: explicit and formalized A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case

Reference 61

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no resolver link, observed 2026-08-10T22:35:33.254734Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.254734Z digest=sha256:de7e4c4871ed464e061611bbe8cf8a642360e83ee9d56dcc63ef901411145a8f

Observation 0a58438c-08e5-440b-8332-bbbfa6276ffb · outbound

This paper cites Microlocal properties of Shubin pseudodifferential and localization operators , url =.

Squarefree numbers in short intervals: explicit and formalized Microlocal properties of Shubin pseudodifferential and localization operators , url =

Reference 62

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no resolver link, observed 2026-08-10T22:35:33.262418Z

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source=arxiv_source observed=2026-08-10T22:35:33.262418Z digest=sha256:642bb237361340e494b8467fcdbf9f3456aca690c47f006c4ba5aaaf8b7805e2

Observation 91450c6a-cff8-4ad3-82c3-e9f6e6c781de · outbound

This paper cites Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups.

Squarefree numbers in short intervals: explicit and formalized Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

Reference 63

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no resolver link, observed 2026-08-10T22:35:33.274163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.274163Z digest=sha256:68b4ebcbb482b3a88b95ac5df0c673baf12cef323c5d9477f13bebebab022184

Observation 087162fc-ef95-4a1f-80fc-bd51373b33ed · outbound

This paper cites One-Level density for holomorphic cusp forms of arbitrary level.

Squarefree numbers in short intervals: explicit and formalized One-Level density for holomorphic cusp forms of arbitrary level

Reference 64

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no resolver link, observed 2026-08-10T22:35:33.282655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.282655Z digest=sha256:b441fd6e43b4eae4aacbac0199911c4ed7474b9b6a62c56d10b7ffdfb185c2ae

Observation c082ade4-1998-48dc-8a5c-c9e8a9f676b9 · outbound

This paper cites Twists of $GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Twists of $GL(3)$ $L$-functions

Reference 65

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.294525Z digest=sha256:e7b9908366481fe4a2e74cb8b82e0b2d66c1a0186bb78449ec2449cee2bba616

Observation af45cd33-6936-47bc-98bf-b79df6e580b0 · outbound

This paper cites Quantum ergodicity and.

Squarefree numbers in short intervals: explicit and formalized Quantum ergodicity and

Reference 66

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no resolver link, observed 2026-08-10T22:35:33.300221Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.300221Z digest=sha256:cfa005c53bc869bdd35301fac0df665271030ef60e2dd5c9b3ebb6605cbf0009

Observation befdf686-1aa3-4d8b-8280-048b115448c7 · outbound

This paper cites Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$.

Squarefree numbers in short intervals: explicit and formalized Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$

Reference 67

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no resolver link, observed 2026-08-10T22:35:33.310358Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.310358Z digest=sha256:7bc5b2f86647769cb96db164716b21af4ec4e647e3822ebaba8ae4fc529fdcc3

Observation cc372780-dabf-4702-90e3-5500eb25403d · outbound

This paper cites Quantum Unique Ergodicity for half-integral weight forms.

Squarefree numbers in short intervals: explicit and formalized Quantum Unique Ergodicity for half-integral weight forms

Reference 68

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no resolver link, observed 2026-08-10T22:35:33.324936Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.324936Z digest=sha256:1f55d4b4ea3ab03a9f41ea6aab088d4f19e1fd120f7b2b33b3bd4b10f5c673e3

Observation df0e9353-a65d-44af-8e68-ecdf683bf790 · outbound

This paper cites Young , display-string =.

Squarefree numbers in short intervals: explicit and formalized Young , display-string =

Reference 69

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no resolver link, observed 2026-08-10T22:35:33.332518Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.332518Z digest=sha256:15452f97b049a6d18bb042beff7616138809565c7f5a53e1e45baf72d28aeb3a

Observation dc03eb59-d255-4f46-b465-9b49d58e4147 · outbound

This paper cites An explicit inversion formula for the p -adic Whittaker transform on.

Squarefree numbers in short intervals: explicit and formalized An explicit inversion formula for the p -adic Whittaker transform on

Reference 70

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no resolver link, observed 2026-08-10T22:35:33.349922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.349922Z digest=sha256:7c65c67fbb0c08e797114ed054949e02d47ebbf6acb84dd39607696b8555536a

Observation c84a2e7e-9a1a-4f8b-8515-04d459bf49ac · outbound

This paper cites Wallach , display-string =.

Squarefree numbers in short intervals: explicit and formalized Wallach , display-string =

Reference 71

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no resolver link, observed 2026-08-10T22:35:33.356478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.356478Z digest=sha256:28ad975a2276732f0c7f527ad8314f31fcd82ceb6dedb3f7ef0368b07368a3ae

Observation 0d4f4c82-6117-4db3-92b1-d4cbc67dcf39 · outbound

This paper cites Twisted moments of L-functions and spectral reciprocity.

Squarefree numbers in short intervals: explicit and formalized Twisted moments of L-functions and spectral reciprocity

Reference 72

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.363060Z digest=sha256:c195039cd4697d7ade360945d8d002835e95a165660bc2d2d0b98cf8bff8bbfc

Observation 68627d0e-025b-4402-acb4-85c2f8f5c25f · outbound

This paper cites Rankin-Selberg periods for spherical principal series.

Squarefree numbers in short intervals: explicit and formalized Rankin-Selberg periods for spherical principal series

Reference 73

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.370033Z digest=sha256:8d2d31ddd56534937bf617e2760a64882abdbb9b6f1f5509568479e607948c6b

Observation 832a1e64-8f8d-4ca4-b012-4354f416fe48 · outbound

This paper cites Nelson and Abhishek Saha , display-string =.

Squarefree numbers in short intervals: explicit and formalized Nelson and Abhishek Saha , display-string =

Reference 74

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.376041Z digest=sha256:843b0a86e0b07dc92ae316e964df1936a677dca3a33ed3f572ee0888930c1d40

Observation 07d2ff49-93f8-46f1-871b-ef26a3979f40 · outbound

This paper cites Upper bounds for geodesic periods over rank one locally symmetric spaces , url =.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for geodesic periods over rank one locally symmetric spaces , url =

Reference 75

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.892854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.381418Z digest=sha256:d8d8e6e1cde6339f294343f4a278e35165aa2811ea4500052a2d1934429cbcfc

Observation b9da2bc9-d649-416a-a5cd-a7acf6d29138 · outbound

This paper cites Subconvexity for symmetric square $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for symmetric square $L$-functions

Reference 76

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.392639Z digest=sha256:197db2e724a57a3a17814f21a083ecacdc57802fdf9604aeb58b968f8c2644c3

Observation 866e1adc-9d29-4cdb-96cd-7621e036322d · outbound

This paper cites Oscillatory integrals with uniformity in parameters.

Squarefree numbers in short intervals: explicit and formalized Oscillatory integrals with uniformity in parameters

Reference 77

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.399233Z digest=sha256:700c9eb0603d72e0e90ebfbcc473ed25c4ba7c14489031f0a16df5479d06358a

Observation 30c87345-8945-4bc0-bcf1-264d85c5b9d5 · outbound

This paper cites A note on Burgess bound.

Squarefree numbers in short intervals: explicit and formalized A note on Burgess bound

Reference 78

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.408223Z digest=sha256:26574701883b57fb7a53c9f07a64fcc0071ac3284c3ec27503d05d30325382f3

Observation f876be07-5ab9-4d71-93ad-110e2c5ac55e · outbound

This paper cites Lectures on Applied -adic Cohomology , url =.

Squarefree numbers in short intervals: explicit and formalized Lectures on Applied -adic Cohomology , url =

Reference 79

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no resolver link, observed 2026-08-10T22:35:33.414464Z

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source=arxiv_source observed=2026-08-10T22:35:33.414464Z digest=sha256:93a00e44a13360b08a78235e5747529cea7f57741fda7b156cd2b67459533f33

Observation 94dffa75-3942-4950-aa67-53e93e57c71c · outbound

This paper cites Periods, cycles, and $L$-functions: a relative trace formula approach.

Squarefree numbers in short intervals: explicit and formalized Periods, cycles, and $L$-functions: a relative trace formula approach

Reference 80

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no resolver link, observed 2026-08-10T22:35:33.420948Z

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source=arxiv_source observed=2026-08-10T22:35:33.420948Z digest=sha256:9b513feeb0600720d7fbd4342ba917bf9825e9e974122c62cad507a774fe96d3

Observation 1b175e06-5166-40f3-9649-91b8aa268d1d · outbound

This paper cites Bounds for twists of $\rm GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Bounds for twists of $\rm GL(3)$ $L$-functions

Reference 81

Resolution
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no resolver link, observed 2026-08-10T22:35:33.426926Z

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source=arxiv_source observed=2026-08-10T22:35:33.426926Z digest=sha256:fd5a5c13d3c0378fbe34334646a0bd8955dff287e302f46d009a6859844240a4

Observation 0dec8e26-f94b-4507-bc81-53ef0802575f · outbound

This paper cites Numerical computation of Petersson inner products and $q$-expansions.

Squarefree numbers in short intervals: explicit and formalized Numerical computation of Petersson inner products and $q$-expansions

Reference 82

Resolution
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no resolver link, observed 2026-08-10T22:35:33.432105Z

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source=arxiv_source observed=2026-08-10T22:35:33.432105Z digest=sha256:ea267640d7317b8973c8b0a57bdfb51f8de7642eaa8a120d4a4eea0bcc0fec96

Observation 071a3dc4-31a8-4904-9b86-4fd861567b35 · outbound

This paper cites A quantum probabilistic approach to Hecke algebras for.

Squarefree numbers in short intervals: explicit and formalized A quantum probabilistic approach to Hecke algebras for

Reference 83

Resolution
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no resolver link, observed 2026-08-10T22:35:33.438460Z

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source=arxiv_source observed=2026-08-10T22:35:33.438460Z digest=sha256:a2fbb627f53eb767cb6adc192ea0046da665d9a6997fb8ceac9034baef3fb2bf

Observation 20ba84aa-c106-4e2d-8983-d4f3cd2fc229 · outbound

This paper cites The Burgess bound via a trivial delta method.

Squarefree numbers in short intervals: explicit and formalized The Burgess bound via a trivial delta method

Reference 84

Resolution
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no resolver link, observed 2026-08-10T22:35:33.443508Z

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source=arxiv_source observed=2026-08-10T22:35:33.443508Z digest=sha256:e7489b35874fcafb16b9758cfeabb2eb11680bf6e6b5fe01b0ae81671113371d

Observation cdd0c815-40c5-4847-8b14-4e99de5a797d · outbound

This paper cites Bounds for $GL_3$ $L$-functions in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Bounds for $GL_3$ $L$-functions in depth aspect

Reference 85

Resolution
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no resolver link, observed 2026-08-10T22:35:33.450636Z

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source=arxiv_source observed=2026-08-10T22:35:33.450636Z digest=sha256:8ed55db66206772201032b379af031f115ec79781b80d0366c2c72b152a0e030

Observation de87c8cb-dab9-45bc-8f6f-9b86d5a328a0 · outbound

This paper cites The second moment theory of families of L-functions.

Squarefree numbers in short intervals: explicit and formalized The second moment theory of families of L-functions

Reference 86

Resolution
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no resolver link, observed 2026-08-10T22:35:33.458147Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.458147Z digest=sha256:7bd8401a984e5ac336239002fca4d59cab4390b0ddd8f4b3ca6ad35ef3119d44

Observation 14441f64-0995-43cf-b521-e777ef00c5d8 · outbound

This paper cites Transfer operators and Hankel transforms between relative trace formulas, I: character theory.

Squarefree numbers in short intervals: explicit and formalized Transfer operators and Hankel transforms between relative trace formulas, I: character theory

Reference 87

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:35:35.874190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.464272Z digest=sha256:9afde98999d70c5a63051887a7fa5d6820668eb1cab30c1eb336f50d6b1c03c3

Observation af7fa0a5-e1f6-41db-a559-43f907b63d4d · outbound

This paper cites Moments of Spinor L-Functions and symplectic Kloosterman sums , url =.

Squarefree numbers in short intervals: explicit and formalized Moments of Spinor L-Functions and symplectic Kloosterman sums , url =

Reference 88

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no resolver link, observed 2026-08-10T22:35:33.470179Z

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source=arxiv_source observed=2026-08-10T22:35:33.470179Z digest=sha256:df1606159b914a83a304b33e275ebfc86e81cfbe37b73ccabb21e16c50f5d0cd

Observation c92315e4-0a76-47ff-94cd-2481bb274f9c · outbound

This paper cites On the Ramanujan conjecture for automorphic forms over function fields I.

Squarefree numbers in short intervals: explicit and formalized On the Ramanujan conjecture for automorphic forms over function fields I

Reference 89

Resolution
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no resolver link, observed 2026-08-10T22:35:33.481392Z

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source=arxiv_source observed=2026-08-10T22:35:33.481392Z digest=sha256:58fc20b792c143cfa716449ed0ce4e3fdcaef6626e9a8232a98c42f0ab3a4e44

Observation 24cbe132-c565-4e8e-b16e-8abfdd87c30e · outbound

This paper cites Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field

Reference 90

Resolution
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no resolver link, observed 2026-08-10T22:35:33.490700Z

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source=arxiv_source observed=2026-08-10T22:35:33.490700Z digest=sha256:74521e4ba63c1a26613c5a362d730e3fc70874fa93691e159e9924cfdcb21036

Observation 296ff2a3-24cf-42bc-a582-beb847f9066d · outbound

This paper cites an unresolved cited work.

Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.496658Z

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source=arxiv_source observed=2026-08-10T22:35:33.496658Z digest=sha256:4b6126dd2fb522834cc22e6b04eaf2e060701a56afd2e961518e310cf5e644c0

Observation dcf132e0-16f3-4bf7-9641-3c1355ebd47d · outbound

This paper cites Joint distribution of spins , url =.

Squarefree numbers in short intervals: explicit and formalized Joint distribution of spins , url =

Reference 92

Resolution
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no resolver link, observed 2026-08-10T22:35:33.503875Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.503875Z digest=sha256:321eeb5c9bd45826a6ae9ebd1d92e94623514438e934846f23a4bfd3c976ed7f

Observation 1c69162d-3fc9-4fcb-9d63-feb41205b04f · outbound

This paper cites Sup norm on $\text{PGL}_n$ in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Sup norm on $\text{PGL}_n$ in depth aspect

Reference 93

Resolution
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.509024Z digest=sha256:d92f0b659cc4c2efeb5e4aff4cd2771cefbbb82b959f925c2fdde9c2588b7d6a

Observation 70e8ab0a-3075-461f-ac81-5a50bf7ddb0e · outbound

This paper cites On the rationality of cycle integrals of meromorphic modular forms , url =.

Squarefree numbers in short intervals: explicit and formalized On the rationality of cycle integrals of meromorphic modular forms , url =

Reference 94

Resolution
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source=arxiv_source observed=2026-08-10T22:35:33.514809Z digest=sha256:2693b484cd4d1830adfa07f5c345722ad70ca5a2537f31295d775611a89ce0f9

Observation 00002821-f670-4b52-80e5-41b5f4071d8e · outbound

This paper cites Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

Reference 95

Resolution
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no resolver link, observed 2026-08-10T22:35:33.520837Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.520837Z digest=sha256:766a0fb320745f261515f6a6c685d538dd94e34658ba0c9c4b80e7dbfe0a1477

Observation ded660a4-d503-44ad-9a92-7d588a4c7a39 · outbound

This paper cites New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds.

Squarefree numbers in short intervals: explicit and formalized New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Reference 96

Resolution
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no resolver link, observed 2026-08-10T22:35:33.527516Z

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source=arxiv_source observed=2026-08-10T22:35:33.527516Z digest=sha256:cf1fc553c994662157a9dd61313a3a2effee4960ef25996fb55a78ae11bd09c6

Observation b474238a-908f-4498-840b-dd1a16e4d806 · outbound

This paper cites Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem.

Squarefree numbers in short intervals: explicit and formalized Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem

Reference 97

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.533088Z digest=sha256:49e4bbad6140c48c238816db6e7f3bb79ce47216055220ab3d1950d180d8385a

Observation 6d328c5e-aea0-420c-ab92-782f6a22b80c · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 98

Resolution
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no resolver link, observed 2026-08-10T22:35:33.538110Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.538110Z digest=sha256:3c8859a98d60c90086945f161c9823d15cefe741348f30df1b0e30b4017a0143

Observation ee0c1aa7-8c4f-4cd5-b49e-a0d90a2a34f6 · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 99

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.823114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.543295Z digest=sha256:2d23e030c9fddf9f9a716bdef5f0c88b877377acedaf7e36900c8e9ca9086730

Observation 877fc71f-97c6-4040-9343-2e08fc6a3563 · outbound

This paper cites Level of distribution of unbalanced convolutions.

Squarefree numbers in short intervals: explicit and formalized Level of distribution of unbalanced convolutions

Reference 100

Resolution
metadata mismatch
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source=arxiv_source observed=2026-08-10T22:35:33.548664Z digest=sha256:7d3536facdd615b2af8604862288dc545622404e09097a2c07bd4a20a04572fe

Pith citing papers

No inbound Pith citation observations are available.