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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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This paper cites Number theory (.

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

Reference 4

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Observation f6fefd0d-f770-4102-8849-832523cb0327 · outbound

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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Observation fb7639e7-353c-41fb-b05f-a3e7e8aef4db · outbound

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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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source=arxiv_source observed=2026-08-10T22:35:33.069854Z digest=sha256:22c2dfb5c5fc8de04a79f797bdcaf65682fed9ac69706fff534537369d357fc5

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=sha256:55cff9371337e0414064a31725538e3144e2e47903c47c8d4d7f5ead4634c3e7

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=sha256:2d92ae65a8d8a23d68fa0d8f91d4c7a959c7d7db88611636add15ddaebd2d9dc

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:a2581a915ef3c3155e6c8858b4e961f54b95f4d405a9374b20f8b44158853ea9

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=sha256:25fb0ec37f9214f0e060915c3a7c5808ca4902027242d07243aef7efa90858b3

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=sha256:1476c1af832e17dc5207de2aa94e9da79dcf5eed8fd603a93e402d0c7d5cc89c

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:bc29e8fe38daa56a7e879caa05bff6305b7bb509fbe8ab3f638cac99a6b4d376

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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doi, observed 2026-08-10T22:35:36.013431Z

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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=sha256:5133651bdb502204fad728db9b68b6a8001e4645c0b515684c191d45c1239674

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

Resolution
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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:f8fe0d66b078707435c46c957b6da85b0f31a03e3718009c1e95a5b22bd8901c

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:b9d19565b43efc522261056fa88363c41188d855113afdcd27db3bbfbfd7f2e0

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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source=arxiv_source observed=2026-08-10T22:35:33.159343Z digest=sha256:d71b61c245c4c993e49673e51b81c64d984ef85231524b1494aaefaa4ed9e0e8

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=sha256:1044f3292405ef0cd36efadaf77840d89b45901c5f2246543c6d617736a35737

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

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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=2026-08-10T22:35:33.175308Z digest=sha256:6b2ed26dbeac28093424e9a02ac49a578d2692ff295b95ddbef0bab31e17964b

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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source=arxiv_source observed=2026-08-10T22:35:33.182008Z digest=sha256:17702763973498f8a71d5e7806c9b277ea3e10cd144f1565bf8d9aafeed943c8

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

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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:cbd6193fb108c92d44bf6eade361d2ed379164b03ce2e10306b8e902794c67dd

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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source=arxiv_source observed=2026-08-10T22:35:33.198379Z digest=sha256:c48276b0da9e8c0abaedc468a944fdceb927d33ec145e35686279d173404ba30

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

Resolution
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local_arxiv, observed 2026-08-10T22:35:35.944952Z

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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=sha256:3a04f011ad8e4bb36fc5fef4ecd3bf69f7a244da79041f5227df2eb94c4f3298

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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source=arxiv_source observed=2026-08-10T22:35:33.218428Z digest=sha256:cba80251ffe3cecfdec72434c54ba93ede2d93852a364a293ebe06c4d8847ef3

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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source=arxiv_source observed=2026-08-10T22:35:33.223420Z digest=sha256:2240292d44c1f0211a88f86336bf01b06b72922793568117d60f0cf9984602f6

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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source=arxiv_source observed=2026-08-10T22:35:33.230427Z digest=sha256:a124bd46fe7e7ecb08ef60bf6d8c62d9cc9c53d1baf8d8bcbbe14ad49cd0f838

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:e2ecb79aa74e033eb9210155a94553b07210bee0a26e7c6715958b93b649d691

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

Resolution
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.245549Z digest=sha256:38730c688be729fec8c8421601078a3a8c01cc872be73aedd8584eb8a689643c

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:def02877756202cc9ae3f650f6029c1c89145a9ee10b9b800a96cdfea19fc54a

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.262418Z digest=sha256:57353932dbd4e86f5a702759073519925c051d66522bba5c1ca2d72c590ce528

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

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.274163Z digest=sha256:829b4bfcaa6b4f840f7284612259a7bdb65cd6039e8ebc88b843b39dbac2aae1

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.282655Z digest=sha256:52e0e020f85d0a3f7848afaf0ef374cf276b5a9a25f9912f7d3f3023d8244d46

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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no resolver link, observed 2026-08-10T22:35:33.294525Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.294525Z digest=sha256:d1e1c663552261124c682dd64182d7074ed550441a1a04701238502b74bf8a46

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:c23a692bd267f11858cd3724b26e1346d8ab1ad8a10088347176ff784b015e45

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=sha256:193b5e8133c12eddc20dabbc86b5096a8f45157ad807814685a0be8fa0ba7bf9

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.324936Z digest=sha256:fe9120e65be0e695027fb951aba983aa9611a155108ac7de7102698857ae92c3

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:df0e924e42f0787443d8d99fd3d2143c51f97611779b1aad4ba593aa2390fd4b

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=sha256:230ab30c28d3c24e7af8621637754b9eaad8563e518504dfbcb8ce8be2f71aa5

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

Resolution
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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=sha256:86f422d6e252e0ed766f44c7eb5a95c6656a0dc66927f49e454c90132cfe8330

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:eabb8be67cf21faac1d6563051edd993bd9479908ed7ac105e22cbbbb9f2fb01

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=sha256:015073e9e61979ef135d07667fe423ca4dafa2cbbb0acb9af760daa0871823a2

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

Resolution
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no resolver link, observed 2026-08-10T22:35:33.376041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.376041Z digest=sha256:6b07250f55d8921fff203edbfef92a9da7ab7244bac4d96e4c6708934a10dc57

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=sha256:2ed0cf18e4e6fd766c5c766459a90831e02d1f5f4ea1d08dddc2e95acbde1743

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=sha256:289e194ff4e32a5a6205f67336dac6899de627a1b48b9d3d507258a989531ce4

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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no resolver link, observed 2026-08-10T22:35:33.399233Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.399233Z digest=sha256:d9dc848286e846740a247ba58a8afa777a8557b0502f7cdbb0917388bcb38b9b

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=sha256:37d942bafd65a57009df5ab96b52dd32725647feeb7b6006a2adb9f8406d7dbe

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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source=arxiv_source observed=2026-08-10T22:35:33.414464Z digest=sha256:465539c4acdfb4ade92bf136c89ca94eb55f82661b334d2e80cd5274aa8f49a1

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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source=arxiv_source observed=2026-08-10T22:35:33.420948Z digest=sha256:9a9c584cf2b2b2cf51bb7b322991db964c20b9cb03abc860d3f3bfb08e7831b6

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

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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=sha256:447e461d05349b0b2699a3f5f22d602851fc62971f24f9376a546f02afd892bd

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

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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=sha256:3322f31e9409dd25c7145b6c5b323ec301c7447fb33374a640f83773a0aa386f

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=sha256:32c917d3892fa64e50756c4992e83332d95cc638b7098da7a0498f4985669d1d

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

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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=sha256:594d13904eca184e29b84a0a2e246f5f86c2e5dcfcfd31ee7ce1be0d612108aa

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

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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=sha256:41e218df4cf07e9ab686774245391b32aeec00b05b542809b8c4ea3124989206

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

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

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source=arxiv_source observed=2026-08-10T22:35:33.458147Z digest=sha256:a3fd93949e50a4d48d91d201582b50e9dcd883799aeb6c6919c01bfe0ed7beeb

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
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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=sha256:64d9760df9c17268da2188806b49d4dee48dcefc5eda58fe8ee43cea92458c40

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

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T22:35:33.470179Z digest=sha256:8ff8075207cf61fe7fc6b7c118857b41a5387b33a69b84a5e0428cf6281ae800

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

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source=arxiv_source observed=2026-08-10T22:35:33.481392Z digest=sha256:c57b0001ee355c6995cef5f4924b93afce649a881b2643bd5a42c212c1544d30

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

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source=arxiv_source observed=2026-08-10T22:35:33.490700Z digest=sha256:7846ddee0b40ab7a04e6860a46f186949aa83c30d749ed5a0a545885e9133095

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
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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=sha256:12ad28ec8aaf6285e7498251b31aa3abaa320b6634a0acf98877ccb04bf570ea

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

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source=arxiv_source observed=2026-08-10T22:35:33.503875Z digest=sha256:cd7f2ebb6400a9c90737056b08e4ace74bf22b4a4639eba5cb6a9502ece61ecd

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

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source=arxiv_source observed=2026-08-10T22:35:33.509024Z digest=sha256:faba4e0070e90f68b7d771a0eb0076b6d75e3f5344b48c5e4d77394a251f5f9b

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

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source=arxiv_source observed=2026-08-10T22:35:33.514809Z digest=sha256:a683f8238f68cdfd4ce49019ab2a12764a7f2e4a78345304a9d9f7429828c14e

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.520837Z digest=sha256:816480cc570a33086e16961038d12622a35abc38339cb50f9eb802a54bc616e4

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

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source=arxiv_source observed=2026-08-10T22:35:33.527516Z digest=sha256:4f0aa37b4c1faa80eb9979b28e050617390c0fc59992552ed91c2ee4aa57f1f0

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
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.533088Z digest=sha256:93d20ee176c32ab3a9acb36365bff843c66a48a0410e4f7301ad059ba73dbc41

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.538110Z digest=sha256:5271f7ef68b37095efade758e5533f932922b9365a16b68acd97e1a465baba1b

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=sha256:2d383a842505c66545a636db93047676f8b1c45dd7c63fbf57ab477d7897e863

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
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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=2026-08-10T22:35:33.548664Z digest=sha256:12f0c7605aa92627cb4b8fac6e60c15a1c6a50f1aa8f11b27e234fe3e9628b4b

Pith citing papers

No inbound Pith citation observations are available.