Paper Citation Record · LEDGER

Non-abelian amplification and bilinear forms with Kloosterman sums

As of 12 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2511.08445.

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

pith.paper-citation-record.v1
2511.08445 v2

Coverage vector

measured 47 of 47 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T22:58:09.286153Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T18:49:55.818320Z

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Reference resolution

47 of 47 outbound references displayed

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Outbound references

Observation afa56298-c721-4f9d-8f6f-ce3671be0608 · outbound

This paper cites On moments of twisted L-functions.

Non-abelian amplification and bilinear forms with Kloosterman sums On moments of twisted L-functions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T22:58:04.413709Z

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Observation 5af11280-6764-4215-b7cf-8ec1a2e74121 · outbound

This paper cites The second moment theory of families ofL-functions—the case of twisted HeckeL-functions.

Non-abelian amplification and bilinear forms with Kloosterman sums The second moment theory of families ofL-functions—the case of twisted HeckeL-functions

Reference 2

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Observation 22a121cc-1b3a-4947-bd2c-a2e8a3899117 · outbound

This paper cites The second moment of twisted modularL-functions.

Non-abelian amplification and bilinear forms with Kloosterman sums The second moment of twisted modularL-functions

Reference 3

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Observation c4d13205-08ff-4a57-ab31-3423ea40b53e · outbound

This paper cites Friedlander, and Henryk Iwaniec.

Non-abelian amplification and bilinear forms with Kloosterman sums Friedlander, and Henryk Iwaniec

Reference 4

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Observation 4129f2c5-8a17-4f1f-9477-5aa1a613713e · outbound

This paper cites Expansion and random walks inSLd(Z/pnZ).

Non-abelian amplification and bilinear forms with Kloosterman sums Expansion and random walks inSLd(Z/pnZ)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T22:58:04.835856Z

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Observation ff30f819-21a3-4580-b1d3-75b9e8d31de9 · outbound

This paper cites an unresolved cited work.

Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 6

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Observation 3c97eeb4-781e-42f1-93ee-3dcff6df3b17 · outbound

This paper cites Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.J.

Non-abelian amplification and bilinear forms with Kloosterman sums Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.J

Reference 7

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Observation 05433be3-cd7e-41f9-8eb0-e305a8121889 · outbound

This paper cites La conjecture de Weil.

Non-abelian amplification and bilinear forms with Kloosterman sums La conjecture de Weil

Reference 8

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Observation 94cbd56f-d3c5-4560-809d-51ec2c099e13 · outbound

This paper cites Mathematika, 29(2):202–212, 1982.

Non-abelian amplification and bilinear forms with Kloosterman sums Mathematika, 29(2):202–212, 1982

Reference 9

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Observation 3ceb3985-afb0-43c7-bfe7-b180b667080d · outbound

This paper cites Deshouillers and H.

Non-abelian amplification and bilinear forms with Kloosterman sums Deshouillers and H

Reference 10

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Observation 012517ea-4856-4b7f-9174-347ee94c42b6 · outbound

This paper cites Kloosterman sums and Fourier coefficients of cusp forms.Invent.

Non-abelian amplification and bilinear forms with Kloosterman sums Kloosterman sums and Fourier coefficients of cusp forms.Invent

Reference 11

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Observation e6ff7cf9-81f0-49c3-9e0b-6c7fe1e65d4a · outbound

This paper cites One-level density estimates for DirichletL-functions with extended support.Algebra Number Theory, 17(4):805–830, 2023.

Non-abelian amplification and bilinear forms with Kloosterman sums One-level density estimates for DirichletL-functions with extended support.Algebra Number Theory, 17(4):805–830, 2023

Reference 12

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Observation c50acb58-dbbb-4d1c-90bb-5c37754bbb70 · outbound

This paper cites Bilinear forms with Kloosterman fractions.Invent.

Non-abelian amplification and bilinear forms with Kloosterman sums Bilinear forms with Kloosterman fractions.Invent

Reference 13

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Observation 9977e5f7-8bbb-431d-bdc6-cac643e679b9 · outbound

This paper cites Algebraic trace functions over the primes.Duke Math.

Non-abelian amplification and bilinear forms with Kloosterman sums Algebraic trace functions over the primes.Duke Math

Reference 14

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Observation 39a56f6f-d5fb-41f4-86fb-4510df7bf2e5 · outbound

This paper cites Lectures on appliedℓ-adic cohomology.

Non-abelian amplification and bilinear forms with Kloosterman sums Lectures on appliedℓ-adic cohomology

Reference 15

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Observation 43021407-5a6c-480f-82c0-6d8c4f83a0ab · outbound

This paper cites Springer- Verlag, New York, 1991.

Non-abelian amplification and bilinear forms with Kloosterman sums Springer- Verlag, New York, 1991

Reference 16

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Observation 73ef7f2e-053b-4550-b3d4-8d1ab65338f1 · outbound

This paper cites On the greatest prime factor and uniform equidistribution of quadratic polynomials.

Non-abelian amplification and bilinear forms with Kloosterman sums On the greatest prime factor and uniform equidistribution of quadratic polynomials

Reference 17

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Observation 163740c5-030b-42c6-96dd-cead59b94012 · outbound

This paper cites New large value estimates for Dirichlet polynomials.

Non-abelian amplification and bilinear forms with Kloosterman sums New large value estimates for Dirichlet polynomials

Reference 18

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Observation 6023c68f-2c28-4973-866e-5773b853e815 · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 19

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Observation 4a726b91-ec9c-4793-97fb-bd3d79600478 · outbound

This paper cites Martin Isaacs.Character theory of finite groups.

Non-abelian amplification and bilinear forms with Kloosterman sums Martin Isaacs.Character theory of finite groups

Reference 20

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Observation e323d811-601e-483a-b31c-2325cf7dc49a · outbound

This paper cites American Mathematical Society, Providence, RI, 2021.

Non-abelian amplification and bilinear forms with Kloosterman sums American Mathematical Society, Providence, RI, 2021

Reference 21

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Observation c0239e2a-c57d-4928-8307-8a5e04307a6a · outbound

This paper cites and Wu, Xiaosheng and Xi, Ping.

Non-abelian amplification and bilinear forms with Kloosterman sums and Wu, Xiaosheng and Xi, Ping

Reference 22

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Observation 77b46875-7129-4dab-9f38-03c44861e4c4 · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 23

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Observation 18401ac1-e153-4080-b4b7-fbb58ab03b3d · outbound

This paper cites Bilinear forms with Kloosterman sums and applications.

Non-abelian amplification and bilinear forms with Kloosterman sums Bilinear forms with Kloosterman sums and applications

Reference 24

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Observation 07ffae2b-f4a3-464f-8046-9983fd1252df · outbound

This paper cites Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums.Ann.

Non-abelian amplification and bilinear forms with Kloosterman sums Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums.Ann

Reference 25

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Observation e650fac1-74ed-4c8e-93f9-83641d90fd51 · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 26

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Observation ed7f47c5-e219-41d7-8703-eecdf145092c · outbound

This paper cites Kuznetsov.

Non-abelian amplification and bilinear forms with Kloosterman sums Kuznetsov

Reference 27

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Observation 934e9b2e-545f-49b0-9713-5e730d73e725 · outbound

This paper cites Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes.Mem.

Non-abelian amplification and bilinear forms with Kloosterman sums Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes.Mem

Reference 28

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Observation 95ec843e-a0b4-40fb-9135-bad67d121231 · outbound

This paper cites Bilinear forms with Kloosterman sums and moments of twisted L-functions.

Non-abelian amplification and bilinear forms with Kloosterman sums Bilinear forms with Kloosterman sums and moments of twisted L-functions

Reference 29

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Observation 41ff6be2-9e21-48fd-9b1c-3da80e345b06 · outbound

This paper cites Moshchevitin and Ilya D.

Non-abelian amplification and bilinear forms with Kloosterman sums Moshchevitin and Ilya D

Reference 30

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Observation 4b39eb08-fc29-4a60-a1dc-df3ede4efb80 · outbound

This paper cites Die irreduziblen Darstellungen der Gruppen SL2(Zp), insbesondere SL2(Zp).

Non-abelian amplification and bilinear forms with Kloosterman sums Die irreduziblen Darstellungen der Gruppen SL2(Zp), insbesondere SL2(Zp)

Reference 31

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Observation 20bf56ef-fa09-407d-bc10-0ca3337607b2 · outbound

This paper cites Large sieve inequalities for exceptional Maass forms and the greatest prime factor ofn2 + 1.

Non-abelian amplification and bilinear forms with Kloosterman sums Large sieve inequalities for exceptional Maass forms and the greatest prime factor ofn2 + 1

Reference 32

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Observation 5a4da91e-bbc0-4940-80f3-a29d601225bd · outbound

This paper cites On the exponents of distribution of primes and smooth numbers.

Non-abelian amplification and bilinear forms with Kloosterman sums On the exponents of distribution of primes and smooth numbers

Reference 33

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Observation 4384587b-29ca-4010-93d1-0b407d70b588 · outbound

This paper cites On the estimation of Fourier coefficients of modular forms.

Non-abelian amplification and bilinear forms with Kloosterman sums On the estimation of Fourier coefficients of modular forms

Reference 34

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Observation 6fad301e-aa1d-4716-9df9-41562bc5c506 · outbound

This paper cites Linear representations of finite groups, volume Vol.

Non-abelian amplification and bilinear forms with Kloosterman sums Linear representations of finite groups, volume Vol

Reference 35

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Observation 91f9c990-31ee-4ba4-832f-3d285e5e9e26 · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 36

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Observation 0aeeaf41-fb2e-477e-99f4-14dba8efea35 · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 37

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Observation bb1dbd6e-099e-4429-81c7-d1e19d38de3b · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T22:58:08.303293Z

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Observation a5567a49-573c-4ef2-bea9-e78964f8d2a8 · outbound

This paper cites Shparlinski.

Non-abelian amplification and bilinear forms with Kloosterman sums Shparlinski

Reference 39

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Observation a5f28074-85fe-48ca-8add-feba0cfaa4e0 · outbound

This paper cites Shparlinski and Tianping Zhang.

Non-abelian amplification and bilinear forms with Kloosterman sums Shparlinski and Tianping Zhang

Reference 40

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Observation 930410a1-53e6-46d3-8b83-fc9166b769a7 · outbound

This paper cites Irreducible representations of the binary modular congruence groupsmod pλ.

Non-abelian amplification and bilinear forms with Kloosterman sums Irreducible representations of the binary modular congruence groupsmod pλ

Reference 41

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Observation 47018fd8-86c7-4ca0-9403-5aad9dd4f101 · outbound

This paper cites Cambridge University Press, Cambridge, 1999.

Non-abelian amplification and bilinear forms with Kloosterman sums Cambridge University Press, Cambridge, 1999

Reference 42

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Observation 5f1d4b99-c30e-4429-9e7b-374f47acfe52 · outbound

This paper cites The shifted convolution of generalized divisor functions.

Non-abelian amplification and bilinear forms with Kloosterman sums The shifted convolution of generalized divisor functions

Reference 43

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Observation 0266a7a3-dfc8-4edc-bc14-a748e38fddae · outbound

This paper cites Arithmetic exponent pairs for algebraic trace functions and applications.Algebra Number Theory, 15(9):2123–2172, 2021.

Non-abelian amplification and bilinear forms with Kloosterman sums Arithmetic exponent pairs for algebraic trace functions and applications.Algebra Number Theory, 15(9):2123–2172, 2021

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T22:58:08.998002Z

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Observation 23ee651a-b9dc-42fa-94b9-202480181239 · outbound

This paper cites The fourth moment of DirichletL-functions at the central value.Math.

Non-abelian amplification and bilinear forms with Kloosterman sums The fourth moment of DirichletL-functions at the central value.Math

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T22:58:09.114638Z

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Observation f97de1a8-2540-4d49-9ae4-752814353ee3 · outbound

This paper cites Ternary divisor functions in arithmetic progressions to smooth moduli.Mathematika, 64(3):701–729, 2018.

Non-abelian amplification and bilinear forms with Kloosterman sums Ternary divisor functions in arithmetic progressions to smooth moduli.Mathematika, 64(3):701–729, 2018

Reference 46

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Observation 86460694-41da-4a4e-a0e8-76c1cb0cb9ee · outbound

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Non-abelian amplification and bilinear forms with Kloosterman sums Unresolved cited work

Reference 47

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Pith citing papers

Observation f99ce573-958d-43bb-b857-01c746cddc7d · inbound

Bilinear forms with Kloosterman sums via quadratic characters cites this paper.

Bilinear forms with Kloosterman sums via quadratic characters Non-abelian amplification and bilinear forms with Kloosterman sums

Reference 29

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