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Paper Citation Record · LEDGER

Linnik's large sieve and the $L^{1}$ norm of exponential sums

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.06946.

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

pith.paper-citation-record.v1
1908.06946 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:38:30.958976Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact0
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c062275a-f2d3-4772-9209-df53b60725e3 · outbound

This paper cites Balog and A.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Balog and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:32.143323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.706965Z digest=sha256:c9519a23d1294c55cbad55097be74625674fd945dffb858a0db61a10b5389abe

Observation 954387ac-99ac-4d7e-b1ac-af53fb3b5994 · outbound

This paper cites Balog and I.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Balog and I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:32.047086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.722222Z digest=sha256:0462f15efebbe1da03791fc32bae7cb630cb901133af95c2a63bc6bc759aabc8

Observation 14a0ba47-9720-4584-9980-d824997daa50 · outbound

This paper cites Balog and I.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Balog and I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:32.005085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.744932Z digest=sha256:cfb4617bf8100c923a262306a29854b320b601fca850c5169fb6287973a0eab5

Observation 696eb75e-64a9-4444-9ead-2ae30820d4a6 · outbound

This paper cites Bombieri, On the large sieve, Mathematika, 12 (1965), 201–225.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Bombieri, On the large sieve, Mathematika, 12 (1965), 201–225

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:31.964837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.764742Z digest=sha256:65785b9e9949066ac09b2238331d21fd25e3c4768c88960058c90333a9f8015d

Observation 85dda781-5733-4c43-9d16-0a072104f482 · outbound

This paper cites Davenport, Multiplicative number theory , 3rd.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Davenport, Multiplicative number theory , 3rd

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:31.814747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.780773Z digest=sha256:c0a6284f8fdca50e913aa92e48b40c70ae109ede52a8570269550bb050cf30ee

Observation 5efea59d-642d-4984-89a6-5bc600544c2e · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.710841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.794751Z digest=sha256:ca99014a88ade4c45888993a045ee4342b0fe5b09f4620750a3fb78578fc5a8d

Observation b141467e-42f1-45df-a2ad-f4ec7fced959 · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.634172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.801279Z digest=sha256:4e3f1d1b1e1acfa6e88569623afa2b1ac499b8beb3e6555429f88af4b30f591c

Observation 33ed3d89-e350-4d6b-9323-521224c80a05 · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.614525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.806144Z digest=sha256:b5692cb4017a1cb4787ae21c3bf332f412bc7cf1348cd81f831f46c5cdcac9a8

Observation 2ba68326-03ac-4390-a25e-54ba1ebc7b20 · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.488932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.823594Z digest=sha256:0f96ece6dc3d4636eb257f9e3be0a9a24f4c7d769949f110cfda2ee3d7c7b217

Observation 9ea41012-2c90-40ce-8bcf-ce94b972bb6b · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.318780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.829362Z digest=sha256:cc8ea0ed4594b2636487b3e7f5d3e3616deae56fd1309ac1fb0ade141e694883

Observation a40044be-43b5-4208-8949-2f9896169b78 · outbound

This paper cites Ramanujan, On certain trigonometrical sums and their applications in the theory of numbers, Trans.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Ramanujan, On certain trigonometrical sums and their applications in the theory of numbers, Trans

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:31.292934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.844915Z digest=sha256:09815e871add87abb9062374cb87e25dfadb3274fecc0e15e439f7c5f77a4bc2

Observation 592de8a7-1cd3-42c0-badf-8e2415784eb3 · outbound

This paper cites R´ enyi, On the large sieve of Ju.

Linnik's large sieve and the $L^{1}$ norm of exponential sums R´ enyi, On the large sieve of Ju

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:31.214067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.900540Z digest=sha256:33342ab981f7c36e34798e42d55adbe534afe58f2dd3422b808d7206f2897aac

Observation 50f013db-f6b3-4105-8f5e-13cc0ef4ab8a · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.057914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.947668Z digest=sha256:57b274e79fd170a6a220bc65d460c32e441758bd5e10e54559b2c85fbfd8c4e3

Observation 0d34dd9d-2f6c-42ea-b2bf-9736156c6bf6 · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.038062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.953177Z digest=sha256:21c47426d0b5b4ecb9786bdd6d5079469cb46885db58326f27accde5c880d868

Observation d3583ddb-a142-4179-8f53-96fb454b4a73 · outbound

This paper cites an unresolved cited work.

Linnik's large sieve and the $L^{1}$ norm of exponential sums Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:31.018948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:38:30.958976Z digest=sha256:ac2fa5f3b70bd5e797429bcd7213e5b8f8a08c0d353b66b63a7bd89f2ad3843d

Pith citing papers

No inbound Pith citation observations are available.