Paper Citation Record · LEDGER

A trace formula derivation of the functional equation for symmetric square L-functions

As of 18 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.15729.

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

pith.paper-citation-record.v1
2606.15729 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:31:12.917632Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

19 of 19 outbound references displayed

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External citation measurements

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Outbound references

Observation 545e46ef-9e27-4c40-86e4-acdadbacc1f3 · outbound

This paper cites Beyond endoscopy via the trace formula.

A trace formula derivation of the functional equation for symmetric square L-functions Beyond endoscopy via the trace formula

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.378750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bd46346-2f8a-485e-8d36-944427b01f10 · outbound

This paper cites Beyond endoscopy via the trace formula.

A trace formula derivation of the functional equation for symmetric square L-functions Beyond endoscopy via the trace formula

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.439631Z

Source-reported events for the cited work

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Observation b1163c84-f2fe-4fa1-a760-b257e92471c4 · outbound

This paper cites Andrews, Richard Askey, and Ranjan Roy.Special Functions, volume 71 ofEncyclopedia of Mathe- matics and Its Applications.

A trace formula derivation of the functional equation for symmetric square L-functions Andrews, Richard Askey, and Ranjan Roy.Special Functions, volume 71 ofEncyclopedia of Mathe- matics and Its Applications

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.512334Z

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Observation f8d70fc5-26e0-4b66-929c-04dd20b2b191 · outbound

This paper cites Hankel transform, Langlands functoriality and functional equation of automorphicL-functions.

A trace formula derivation of the functional equation for symmetric square L-functions Hankel transform, Langlands functoriality and functional equation of automorphicL-functions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.587926Z

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Observation 513b36c0-4647-415b-b926-401bd40f2f2e · outbound

This paper cites Beyond Endoscopy for GL(3,Q): Poisson Summation.

A trace formula derivation of the functional equation for symmetric square L-functions Beyond Endoscopy for GL(3,Q): Poisson Summation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.666911Z

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Observation 6918b1dc-ffda-4f54-b6d8-e24144f8431b · outbound

This paper cites A relation between automorphic representations of GL(2) and GL(3).Ann.

A trace formula derivation of the functional equation for symmetric square L-functions A relation between automorphic representations of GL(2) and GL(3).Ann

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.744893Z

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Observation 4d9d7848-7ad9-4f18-abc5-9399234ca5ea · outbound

This paper cites Springer, Berlin, 1972.

A trace formula derivation of the functional equation for symmetric square L-functions Springer, Berlin, 1972

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.818721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9dcb152-3a83-401e-b62d-697e95a92f37 · outbound

This paper cites Gonz´ alez, Chung Hang Kwan, Steven J.

A trace formula derivation of the functional equation for symmetric square L-functions Gonz´ alez, Chung Hang Kwan, Steven J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.880097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0acdc3cc-467f-4754-8bbf-80f6e4e1d9cf · outbound

This paper cites Edward Herman.

A trace formula derivation of the functional equation for symmetric square L-functions Edward Herman

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:11.974569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6cfdaf8-d721-4e92-b651-526d597b0ef2 · outbound

This paper cites Jacquet and D.

A trace formula derivation of the functional equation for symmetric square L-functions Jacquet and D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.038129Z

Source-reported events for the cited work

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Observation a9abc4de-e878-4193-a7df-09ec4ca83137 · outbound

This paper cites Kim and Freydoon Shahidi.

A trace formula derivation of the functional equation for symmetric square L-functions Kim and Freydoon Shahidi

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.104712Z

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Observation 03d1ee3b-69ff-4d45-83bf-a65eee932f9f · outbound

This paper cites Knightly and C.

A trace formula derivation of the functional equation for symmetric square L-functions Knightly and C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.157091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 009e9158-1151-4c1b-a6bf-2f787d3ccf46 · outbound

This paper cites Trace formula and functional equation.

A trace formula derivation of the functional equation for symmetric square L-functions Trace formula and functional equation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.343758Z

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Observation e444a870-4d0c-4ec7-9ad1-5643a5d2903d · outbound

This paper cites Langlands.

A trace formula derivation of the functional equation for symmetric square L-functions Langlands

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.410726Z

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Unavailable: canonical work link unavailable.

Observation 5e3436fe-ac38-47dd-89c9-2941028008e0 · outbound

This paper cites Miller and Wilfried Schmid.

A trace formula derivation of the functional equation for symmetric square L-functions Miller and Wilfried Schmid

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.496890Z

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Observation 34cd0c99-6107-467a-94bf-19dc2a5346d5 · outbound

This paper cites Beyond endoscopy for the relative trace formula.

A trace formula derivation of the functional equation for symmetric square L-functions Beyond endoscopy for the relative trace formula

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.627941Z

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Observation 1d134a73-35ff-4955-b201-95c08081aed3 · outbound

This paper cites Princeton University, 2002.

A trace formula derivation of the functional equation for symmetric square L-functions Princeton University, 2002

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.750118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e24557b-972c-4f98-8ee8-2f0b95fc3259 · outbound

This paper cites an unresolved cited work.

A trace formula derivation of the functional equation for symmetric square L-functions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.856052Z

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Unavailable: canonical work link unavailable.

Observation cf11fcad-20a6-4a31-8eb6-3fefcec57df4 · outbound

This paper cites Modular forms whose fourier coefficients involve zeta-functions of quadratic fields.

A trace formula derivation of the functional equation for symmetric square L-functions Modular forms whose fourier coefficients involve zeta-functions of quadratic fields

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T11:31:12.917632Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.