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Paper Citation Record · LEDGER

Lower bounds for high moments of zeta sums

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.09334.

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

pith.paper-citation-record.v1
2506.09334 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:56:24.589992Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1eb1c851-9555-49e1-a7ba-f9df2a6cc0cb · outbound

This paper cites Zheng,High order moments of character sums, Proc.

Lower bounds for high moments of zeta sums Zheng,High order moments of character sums, Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:26.516965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.101361Z digest=sha256:66473efa5f96a8eec4a9d0750444e4ab8e49f4eb19a7064118e2588032f9dd9d

Observation fba6de9f-358a-43a5-87b5-e7e227f7dde9 · outbound

This paper cites Correlations of the Riemann zeta function.

Lower bounds for high moments of zeta sums Correlations of the Riemann zeta function

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:56:24.903714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.230869Z digest=sha256:6c43d3f18337132e068ad7ee6688ef3a7f42ad83f82ee9bf4a225ae8d59ddc32

Observation 7434f7a8-6334-436a-9f9a-3e28ecfd31e4 · outbound

This paper cites de la Bret` eche, M.

Lower bounds for high moments of zeta sums de la Bret` eche, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:26.331623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.283210Z digest=sha256:0c63e7d8d2ac34b5d6e7cf56c74e32fbc09bd213148200e9f3efd30492d039ab

Observation cde25c57-5554-420a-adb6-2baaa3012dac · outbound

This paper cites an unresolved cited work.

Lower bounds for high moments of zeta sums Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:56:26.207449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.406723Z digest=sha256:ff8b1183a1dd0091e460c085835b98dd3d9114b4fc9a3140c9cd12d0e79abdb5

Observation da01da32-c358-4fb6-a2b5-824e6b9edbc7 · outbound

This paper cites Gao,Upper bounds for moments of zeta sums, J.

Lower bounds for high moments of zeta sums Gao,Upper bounds for moments of zeta sums, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:26.067944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.512979Z digest=sha256:43b6929bfd7eefe6930ef33eebafeb7c685d98cb58485537c114fe3b8861fcf4

Observation d0a7a52d-edc5-4362-b74b-b7c509b0cadd · outbound

This paper cites Granville and K.

Lower bounds for high moments of zeta sums Granville and K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:25.939859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.649739Z digest=sha256:2b291e004e47fa72a9ed58ad803a1d79a948fa7a70b187f26dd3cf7d4bea942b

Observation fec9dead-425e-415b-931b-7a073fb9cb0d · outbound

This paper cites an unresolved cited work.

Lower bounds for high moments of zeta sums Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:56:25.836790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.722001Z digest=sha256:2368d78427bf7cfec612778b85725d5b3032d661e00313455dc1387b1e0b8286

Observation fd4ce65b-5e99-47b5-a65f-cb801c807b18 · outbound

This paper cites an unresolved cited work.

Lower bounds for high moments of zeta sums Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:56:25.697693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:23.852139Z digest=sha256:562ba5517c4fef463ed1da84927c211712035e08964d2844a869c495c8419f08

Observation d58505d9-a899-491d-ab39-e9bd61e39bd7 · outbound

This paper cites The typical size of character and zeta sums is $o(\sqrt{x})$.

Lower bounds for high moments of zeta sums The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T04:56:23.985574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:56:23.985574Z digest=sha256:f5cbd6286a37abf597daa2f6584926b7e4f063cc1e543a0f52a903ffd14ade1e

Observation 7acebae7-e025-4be6-a87e-0aeb04bf59c3 · outbound

This paper cites an unresolved cited work.

Lower bounds for high moments of zeta sums Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:56:25.570905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:24.052880Z digest=sha256:10613853557ed856c86f0b0bb88f47502ded96cb185c484ad9e52bf8abe0f8f8

Observation 1cfe45d0-6bfd-4f5c-907a-6c0f25af4c63 · outbound

This paper cites Munsch,Shifted moments of L-functions and moments of theta functions, Mathematika63 (2017), no.

Lower bounds for high moments of zeta sums Munsch,Shifted moments of L-functions and moments of theta functions, Mathematika63 (2017), no

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:25.443234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:24.235791Z digest=sha256:74398ae0f7e574bd02d0a432ad4726a6350be0152881be2ad58a26c88e5ae241

Observation 7b9dee48-6472-4d02-a698-d9ef5c90a98a · outbound

This paper cites Munsch and I.

Lower bounds for high moments of zeta sums Munsch and I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:25.304503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:24.320954Z digest=sha256:fb442572fb0eac0e0d915c0d32573b68e0ffbb12dd951a1f7c92665b2af77718

Observation 9bd46f2d-ed5b-46c4-a91b-01f6b862b6ce · outbound

This paper cites Szab´ o,High moments of theta functions and character sums, Mathematika, pp.

Lower bounds for high moments of zeta sums Szab´ o,High moments of theta functions and character sums, Mathematika, pp

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:25.188246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:24.423571Z digest=sha256:6cf4345d727ea008ab000904f1a1adf52849fc60bfaf606dc481b6ceb4ddffb7

Observation daf79efd-7ab4-44e2-a7e9-86c93e686868 · outbound

This paper cites A lower bound on high moments of character sums.

Lower bounds for high moments of zeta sums A lower bound on high moments of character sums

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T04:56:24.535361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:56:24.535361Z digest=sha256:c622fa92410b74ce3019d8ad13d802c73869c4bea8707105ccfa466c6afed288

Observation b0e57a89-8594-47fd-a2c1-ed83f040ada9 · outbound

This paper cites Yang,Extreme values of derivatives of zeta and L-functions, Bull.

Lower bounds for high moments of zeta sums Yang,Extreme values of derivatives of zeta and L-functions, Bull

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:56:25.072904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T04:56:24.589992Z digest=sha256:75e6cb8e02110064b864431b2eb4a47ddee36782c171f4df1d8d6973c97bdc9b

Pith citing papers

No inbound Pith citation observations are available.