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Paper Citation Record · LEDGER

Distribution of sums involving Dirichlet characters over the $k$-free integers

As of 11 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2602.23100.

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

pith.paper-citation-record.v1
2602.23100 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:44:03.877190Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation f7f26c1c-06b7-46cd-b2ec-a0dca85aa8ee · outbound

This paper cites Limiting distributions of the classical error terms of prime number theory.

Distribution of sums involving Dirichlet characters over the $k$-free integers Limiting distributions of the classical error terms of prime number theory

Reference 1

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doi, observed 2026-08-02T20:48:29.921566Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:01.784203Z digest=sha256:4358a8665651abd2ae07d18e01761c498c027190e2e4ec4f632c9749fcdb9601

Observation 8694b61a-45aa-4f18-a7f0-46e995f2315d · outbound

This paper cites A note on multiplicative functions resembling the M¨ obius function.

Distribution of sums involving Dirichlet characters over the $k$-free integers A note on multiplicative functions resembling the M¨ obius function

Reference 2

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doi, observed 2026-08-02T20:48:29.840095Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:01.888619Z digest=sha256:f1028bb7450332805f118bd6e7dde1f65620b337cfef2390f0ea3fbcfb565eeb

Observation 126164cc-b9d8-447c-b897-d1057ceba3af · outbound

This paper cites Multiplicative functions supported on thek-free integers with small partial sums.

Distribution of sums involving Dirichlet characters over the $k$-free integers Multiplicative functions supported on thek-free integers with small partial sums

Reference 3

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doi, observed 2026-08-02T20:48:29.758988Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:02.026147Z digest=sha256:05986c008128a3ac903f0c9772929440d484d8c073d4a161223fdbd747d9ba01

Observation 085414dd-cbb6-4ad0-961b-1aea35a8411b · outbound

This paper cites Modified Dirichlet Character Sums over thek-free Integers.

Distribution of sums involving Dirichlet characters over the $k$-free integers Modified Dirichlet Character Sums over thek-free Integers

Reference 4

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doi_truncated, observed 2026-08-02T20:48:29.679617Z

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source=pdf_text observed=2026-08-02T20:44:02.175506Z digest=sha256:4bad1fcbfe0e7baecf03afd9eafa8ca5fdeb901d270ea6ba4a860d278b56e2f1

Observation 6801d47e-5cc5-45dc-b823-a651f2aef126 · outbound

This paper cites Lower bounds for negative moments ofζ ′(ρ).

Distribution of sums involving Dirichlet characters over the $k$-free integers Lower bounds for negative moments ofζ ′(ρ)

Reference 5

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doi, observed 2026-08-02T20:48:29.537590Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:02.343789Z digest=sha256:cba7de4db18481a7efdf12cbf17cb374d43b2d368baa8121c3015f43ee1f522d

Observation 12ea5c7d-6e04-4876-badd-0c43d00504e1 · outbound

This paper cites On negative moments of the Riemann zeta-function.

Distribution of sums involving Dirichlet characters over the $k$-free integers On negative moments of the Riemann zeta-function

Reference 6

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doi, observed 2026-08-02T20:48:29.395517Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:02.515140Z digest=sha256:71ff78ce4066fcb9e0bc5cb63e611130f2cad37717e19f0d7bd634960015d1fd

Observation b751fc1b-ac1e-4a01-bb0a-9ccec61c90a9 · outbound

This paper cites Lower bounds for discrete negative moments of the Riemann zeta function.

Distribution of sums involving Dirichlet characters over the $k$-free integers Lower bounds for discrete negative moments of the Riemann zeta function

Reference 7

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:02.682369Z digest=sha256:bb3a0dd5c9559a0de0389ab0b6367129937544d31fde3fa01b90c65b5a3f58b1

Observation 41397eb9-153d-4911-9719-636a1bec9f62 · outbound

This paper cites On the distribution of log|ζ ′( 1 2 +it)|.

Distribution of sums involving Dirichlet characters over the $k$-free integers On the distribution of log|ζ ′( 1 2 +it)|

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:44:02.819948Z digest=sha256:9e104536ebc5426d146b02a8bcbeb1d622a6f988e1ed4c9c6ffdc497016f3352

Observation 1971db02-b2d6-47b8-9dd0-b05cda90f7e2 · outbound

This paper cites Random matrix theory and the derivative of the Riemann zeta function.

Distribution of sums involving Dirichlet characters over the $k$-free integers Random matrix theory and the derivative of the Riemann zeta function

Reference 9

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source=pdf_text observed=2026-08-02T20:44:02.891467Z digest=sha256:20f838884ee3664e511b10422c7b0e0c194c0eb45c511c6e83435e45a80a8be6

Observation a1a88fe6-b443-4617-86e3-d2c2ac606e09 · outbound

This paper cites The distribution of weighted sums of the Liouville function and P´ olya’s conjecture.

Distribution of sums involving Dirichlet characters over the $k$-free integers The distribution of weighted sums of the Liouville function and P´ olya’s conjecture

Reference 10

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doi, observed 2026-08-02T20:48:29.109722Z

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source=pdf_text observed=2026-08-02T20:44:02.925189Z digest=sha256:b7dad9fced8b4e67a4f28ba0a30ffba585aaaff31820391909c56a809f0dd4d9

Observation f43be7a3-8271-4531-8f07-0cac677128ff · outbound

This paper cites Iwaniec and E.

Distribution of sums involving Dirichlet characters over the $k$-free integers Iwaniec and E

Reference 11

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source=pdf_text observed=2026-08-02T20:44:03.007247Z digest=sha256:33218d050827498b6267670be864634301dde69bd88e6c4557aa8c4b5e980846

Observation 942d4dbb-cef8-4f3a-b8bf-16fdc1b76b7e · outbound

This paper cites On the squarefree and squarefull numbers.

Distribution of sums involving Dirichlet characters over the $k$-free integers On the squarefree and squarefull numbers

Reference 12

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source=pdf_text observed=2026-08-02T20:44:03.053299Z digest=sha256:7376f1ea1916b46f65f6ce035ce3e388584ed4569e28f4bb540c3f2458a842aa

Observation e2dbb4a9-7001-4abb-baca-f7680426617b · outbound

This paper cites Multiplicative functions resembling the M¨ obius function.

Distribution of sums involving Dirichlet characters over the $k$-free integers Multiplicative functions resembling the M¨ obius function

Reference 13

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:03.130323Z digest=sha256:ddf52326e5b155a396f2cffd423a4ea4555dfa245c06e5a3d05ac0cf596bd40a

Observation 00b15a29-c248-4800-aca0-087f8434bbb9 · outbound

This paper cites The distribution ofk-free numbers and the derivative of the Riemann zeta-function.

Distribution of sums involving Dirichlet characters over the $k$-free integers The distribution ofk-free numbers and the derivative of the Riemann zeta-function

Reference 14

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source=pdf_text observed=2026-08-02T20:44:03.187088Z digest=sha256:6b3e7c75b0ef23bddf7a0f4c533c7a4a6a27216232fa95ac2cbc93c1e6a0da49

Observation 3f29d03e-ddd0-484d-9a29-0aa8a20daa2c · outbound

This paper cites Upper bounds for moments ofζ ′(ρ).

Distribution of sums involving Dirichlet characters over the $k$-free integers Upper bounds for moments ofζ ′(ρ)

Reference 15

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doi, observed 2026-08-02T20:48:28.482425Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:03.265490Z digest=sha256:19a1ffcd65cc4745cea5b1a7bcd8b79f507f253ff595b351afb3891426b1ad7d

Observation 861edbe3-928a-40fc-a1ef-dae5c421d3bf · outbound

This paper cites Lower bounds for moments ofζ ′(ρ).

Distribution of sums involving Dirichlet characters over the $k$-free integers Lower bounds for moments ofζ ′(ρ)

Reference 16

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verified exact
doi, observed 2026-08-02T20:48:28.289383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:03.384366Z digest=sha256:00b21ab55874378caf19a927aba24dbaeddd9f7bb7ea2b38e318a5a603e9b8fe

Observation df873b7b-605e-4199-8ca8-d952def9ffd4 · outbound

This paper cites The zeta function and prime numbers.

Distribution of sums involving Dirichlet characters over the $k$-free integers The zeta function and prime numbers

Reference 17

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source=pdf_text observed=2026-08-02T20:44:03.452020Z digest=sha256:a49b0d1bb542917160235ed079c5243daa410050fb518e8dd14e77d028fde41b

Observation a764e5dd-3fa6-4772-9c43-e96935e5e454 · outbound

This paper cites an unresolved cited work.

Distribution of sums involving Dirichlet characters over the $k$-free integers Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-02T20:44:03.554898Z digest=sha256:0e3c123aef49254b6a16ac4578233e594277ccd059421c83dcdc4b4af5500e6c

Observation 9f3329bd-c6e3-4fd8-9e22-b2d120610dc0 · outbound

This paper cites Character sums over squarefree and squarefull numbers.

Distribution of sums involving Dirichlet characters over the $k$-free integers Character sums over squarefree and squarefull numbers

Reference 19

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doi, observed 2026-08-02T20:48:28.129157Z

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source=pdf_text observed=2026-08-02T20:44:03.622506Z digest=sha256:81424560c2d700950014bcc8de1cd686db96adeb1824db622abbb58365b913e7

Observation 5df4ba94-534a-4266-823d-e1a539d38d24 · outbound

This paper cites Prime Number Error Terms.

Distribution of sums involving Dirichlet characters over the $k$-free integers Prime Number Error Terms

Reference 20

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:44:03.712937Z digest=sha256:08148eba234256ef97fd5ca8bde69e44dec12f7d50e69661c61d79068270aed1

Observation 36fdfefb-f6ee-4978-8c31-baaafc5f6840 · outbound

This paper cites The distribution of the summatory function of the M¨ obius function.

Distribution of sums involving Dirichlet characters over the $k$-free integers The distribution of the summatory function of the M¨ obius function

Reference 21

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doi, observed 2026-08-02T20:48:28.022043Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-02T20:44:03.789427Z digest=sha256:7b898821cb2dda7537cb6de34d8af09610a0dd67a4a48a5ec612568a5f4e7693

Observation e4fd530b-4109-483e-bad1-d187950570fd · outbound

This paper cites an unresolved cited work.

Distribution of sums involving Dirichlet characters over the $k$-free integers Unresolved cited work

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:44:03.877190Z digest=sha256:01ed38f502fc00155c0abadc6544cba6d7d719d13e7de4516c6aff2dd380c15c

Pith citing papers

No inbound Pith citation observations are available.