Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T16:06:26.905668Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:1908.10346.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T16:06:26.905668Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:33.610448Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T04:51:08.484201Z
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0ecbfbf1-27fb-48c1-a0b9-7d099b1cfb3d · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Andersen and E
Reference 1
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 59512fc0-6b03-4a6c-8c1a-1d50ecb9ed41 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 2
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 bd1b504e-7fc3-4be2-84fc-2ec1d33800f2 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 3
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 5a661cd0-09f9-4c04-95e7-c4a4cd158f75 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Motohashi's fourth moment identity for non-archimedean test functions and applications
Reference 4
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 853853b8-9dff-40c2-8e96-1311f40e2421 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Blomer and R
Reference 5
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 0ea9261c-06ac-454e-9faa-beb072667d68 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Blomer and Dj
Reference 6
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 d5bd5edf-0ed3-4225-aeca-309682e8ae6c · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Twist-minimal trace formulas and the Selberg eigenvalue conjecture
Reference 7
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 dc1ab29b-0bfd-47db-878d-cba2ad10fe49 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 8
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 46eb9040-67f2-42e3-a1be-166c452f5072 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Casselman
Reference 9
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 51a620f0-64cf-4e44-a8b4-7da0db5c786e · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 10
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 2bf19dbe-cb66-4598-b2b1-d038f4e86363 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Corbett and A
Reference 11
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 9766b68c-4214-4760-9dfc-e393ea81c65f · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Davenport
Reference 12
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 ad67dbdf-06f6-417f-8a7c-7066125c8c4c · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 13
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 47432782-a8f4-4262-a161-de1dedde3150 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 14
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 d0d3d1d1-950c-49a5-9071-a19bdb587ac4 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Deshouillers and H
Reference 15
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 29cf9b35-2262-4aca-b829-82019f5677ca · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 16
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 cc387d36-cbb3-437b-a59c-2ec19ac08a5c · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 17
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 5a3d9208-6102-4b10-a055-7634f9bbb975 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 18
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 95e1f350-6a05-4e77-9db4-71e89a99e464 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Guo, On the positivity of the central critical values of automorphic L -functions for GL (2)
Reference 19
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 e64c84ef-3c48-4a0d-9ce6-6e645f9bbed4 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 20
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 286d8615-414b-4fb7-ae8a-783b3850b939 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 21
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 e9923611-563c-4ff7-839d-55faba97ecc7 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Hoffstein and P
Reference 22
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 d1ec6ccd-f827-4125-a9d4-34550ac5c960 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 23
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 aca4fef6-fcd7-4e61-bc31-a46dc3591fb7 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Iwaniec and E
Reference 24
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 b7e9723c-bb7c-4f13-ae04-b76036a210b8 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Iwaniec, W
Reference 25
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 cef451c0-2c08-423c-b3b5-c7a9ef188a31 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 26
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 ef61706c-732e-4ce1-803f-77ca353cd0e3 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 27
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 7d051478-4e3a-48d7-9d68-b852d157d8b0 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 28
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 06ef4131-f08b-4e88-a633-74a81261d9d9 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 29
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 56599dfb-75a3-4ada-be67-d53244361c82 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Jutila and Y
Reference 30
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 1b571703-edc7-4471-8038-7c0c5672c0c2 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Jutila and Y
Reference 31
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 1e3c5de5-4639-4093-876e-f53288f6993e · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Khan, Dj
Reference 32
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 e088e8bd-eff6-4149-b62f-e67fbed65f98 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound The Fifth Moment of modular L-functions
Reference 33
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 81605d4c-df23-4dca-a668-39eff9131e13 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 34
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 df4cf51f-f314-40b0-a5c5-27c12a6b7e11 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Kowalski, Ph
Reference 35
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 409efe84-7510-456a-b675-459b00cfbb4c · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 36
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 7aeeaf5e-cd9d-455d-aa11-350781a9d4e7 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 37
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 4cba8d83-7f43-4616-81c3-a7d297035602 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Michel and A
Reference 38
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 a9059bc3-f70a-47bc-9b83-2428f225aef2 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Mili\' c evi\' c
Reference 39
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 96ce1315-a043-4249-b072-77dcbfaea339 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Twelfth moment of Dirichlet L-functions to prime power moduli
Reference 40
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 347a7976-1abf-42f5-ab15-045255cf947b · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Motohashi
Reference 41
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 e4b5916e-b8e6-444e-9c73-eba576cf54d9 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 42
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 db2de117-c27c-491f-9435-a1ca61d56248 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Neukirch
Reference 43
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 0b96252c-5d88-47f4-9baa-0484394b6ff3 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 44
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 52272857-8389-43c6-8c49-2d76d07427f7 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 45
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 5ac6d2ff-23ba-45ab-8e05-3af19626bd77 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 46
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 f80c817a-023c-44dd-975a-f1f81abb4d92 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound The Weyl bound for Dirichlet $L$-functions of cube-free conductor
Reference 47
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 7027a9d4-f4b1-418a-8bc1-eecb206ebddd · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Petrow and M
Reference 48
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 a0059bb7-a940-49bf-a658-d1e8a33af1d1 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Sarnak, S
Reference 49
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 5e832e3e-1f6c-4029-ae55-de39a1a516a9 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 50
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 d1c06684-e533-4e4d-af21-2d9702f18075 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Schulze-Pillot and A
Reference 51
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 ec3162ed-a2e9-4e96-aea7-2ef587a0affc · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 52
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 f28be124-3006-44ca-8b9d-df081e7203a4 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 53
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 d3278b25-11c3-4f91-923a-221fe596176c · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Soundararajan
Reference 54
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 bc624288-4536-422f-9bf8-bfa35a84f576 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 55
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 2ee84d90-a365-4ea3-8f0f-87aede8073bc · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 56
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 7468b790-08f8-481d-997b-1c23ce9537dd · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Unresolved cited work
Reference 57
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 6b5db03a-ad21-4ff8-a26f-454ec5aed1f7 · outbound
The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound Zacharias
Reference 58
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 50f63070-5dc4-4e80-b373-dd6b49ab8c73 · inbound
Uniform subconvexity bounds for $GL(2)\times GL(2)$ $L$-functions in the spectral aspect The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound
Reference 45
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 4475d8a3-4c45-49fd-ae1a-6f26467de923 · inbound
Squarefree numbers in short intervals: explicit and formalized The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound
Reference 111
Source-reported events for the cited work
Unavailable: canonical work link unavailable.