Paper Citation Record · LEDGER

First moment of quadratic Dirichlet $L$-functions with secondary terms

As of 18 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2509.03197.

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

pith.paper-citation-record.v1
2509.03197 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:46:13.480365Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:58:06.272057Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy4
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70d51241-9a8d-485f-ab5f-a39d10cebce1 · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.767361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f68cb1a0-bc57-46a3-86e4-921279121547 · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.750996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bf292147-0bb3-4892-8cc8-9b181ce26963 · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.733736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a4ae4630-a8eb-4cbc-a084-a6769378924e · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.717460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 126fa3b6-f63a-47e4-a793-99bbc17b24e1 · outbound

This paper cites Moments of real Dirichlet $L$-functions and multiple Dirichlet series.

First moment of quadratic Dirichlet $L$-functions with secondary terms Moments of real Dirichlet $L$-functions and multiple Dirichlet series

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:46:13.427498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5759e80a-f592-44ac-9c4c-a62ed6c1dc2a · outbound

This paper cites Diaconu, D.

First moment of quadratic Dirichlet $L$-functions with secondary terms Diaconu, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:46:13.700457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aa4affbc-c98d-4d8a-92d5-83b5d3a4308b · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.683235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 375a667f-a642-4d74-990e-3cdb7184bc79 · outbound

This paper cites Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions.

First moment of quadratic Dirichlet $L$-functions with secondary terms Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:46:13.525616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fe2b8577-0932-4826-bee0-6f881fb59b84 · outbound

This paper cites Goldfeld and J.

First moment of quadratic Dirichlet $L$-functions with secondary terms Goldfeld and J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:46:13.667166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4b3d1c9-ef9c-4d0e-a2f8-93c5c8200e79 · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:46:13.452113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f9946c0-23e7-4bcf-8b68-ba43fb9e62d3 · outbound

This paper cites H¨ ormander.An introduction to complex analysis in several variables, volume 7 ofNorth- Holland Mathematical Library.

First moment of quadratic Dirichlet $L$-functions with secondary terms H¨ ormander.An introduction to complex analysis in several variables, volume 7 ofNorth- Holland Mathematical Library

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:46:13.638748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0414579d-6540-43c8-9050-e45d3a42ee15 · outbound

This paper cites Iwaniec and E.

First moment of quadratic Dirichlet $L$-functions with secondary terms Iwaniec and E

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:46:13.461482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da7aa1b1-76fa-4780-b8bb-b214b1a78e4b · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.612225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b322e856-a295-4004-9b09-6a0eb7aaa73f · outbound

This paper cites Soundararajan.

First moment of quadratic Dirichlet $L$-functions with secondary terms Soundararajan

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:46:13.595645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 535ec3ab-94ee-444d-a2be-bb06f6eae74d · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.578917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 73cc1931-9a7a-4a06-a3e6-34ff6e8d0e8a · outbound

This paper cites an unresolved cited work.

First moment of quadratic Dirichlet $L$-functions with secondary terms Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:46:13.561394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 7f11e8d8-3684-4fcd-a900-4c0e2e296ff9 · inbound

First Moment of Quadratic Hecke $L$-Functions with Lower Order Term cites this paper.

First Moment of Quadratic Hecke $L$-Functions with Lower Order Term First moment of quadratic Dirichlet $L$-functions with secondary terms

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T13:58:06.272057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.