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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:01.784203Z digest=sha256:45ae3ecd63248f5885c09b63d368082e0b12dcf76dfd257744f6271ede735da2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:01.888619Z digest=sha256:34fe81313491f57c3502d6da2efa48d0b2b9e76b361ccbb7088e7ca247f5eceb

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:02.026147Z digest=sha256:d6fbfae9b23c724f1d228898d78b91f42c6ff870753230a88b84977a4c763135

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:ed79fcae83e909a33d213739bd587ef42b822e7192d746487ac28ab61cfaa02c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:02.343789Z digest=sha256:b09b50f598e76b8a08956a5985bfe255da15665f3c1ab3e99fac2e16ed8d1fd2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:02.515140Z digest=sha256:6bef89a5a303168ce6a124d627aafed1964059da9665a358aa3085b2e86390f1

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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doi, observed 2026-08-02T20:48:29.278248Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:02.682369Z digest=sha256:fa8f17ecb1aac4f5c478b972aeb7806f188863635d7201784f95345626e73fae

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

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source=pdf_text observed=2026-08-02T20:44:02.819948Z digest=sha256:1bb02bdaf9b0fa2732020fb71c4c7474ca6f8cae3f54e50f4068207caf0696b9

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:ae1289d84c7507f7db4190ea0a033e2cced774f79359dceb0158a65077eb132b

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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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:02.925189Z digest=sha256:96c8ff93c9e04b3a4188273ae37e5a3799806a13eb1d8821b984db61bb43a58d

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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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.007247Z digest=sha256:fa5ca43c677f25af782a7760cca1c68baea7d0b2e864e76f26045e826f937494

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=sha256:3a1e4730b36f47bbfe7ab4c6e122e2050717b1b6468ecec6117091d67ede6759

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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doi_truncated, observed 2026-08-02T20:48:28.798305Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.130323Z digest=sha256:0201e795770deddbfd470d3089698ad0faac49f7b00550a9db7597ef5421a23b

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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doi, observed 2026-08-02T20:48:28.640375Z

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source=pdf_text observed=2026-08-02T20:44:03.187088Z digest=sha256:36456c8154a0c82f36407f2a46aa9185a0dbd72b2e2b171090f152bc55117037

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.265490Z digest=sha256:c18045632502ab9b3aef7438c46e08d7ea5fc441c16c57bdb264c237720683d0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.384366Z digest=sha256:bf1cf427ecba99d3facf74b062d265aac3eb0f001d35ea3090fe2fafa703e659

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=sha256:97cfccb939a6edeb22cfdf745620477f15ed22c3ba78d9f9bf0f438e31cbb827

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=sha256:9bd5463e2c7e236814fd1c93846e4249cba39dcf830a75cab73f7daa984c9170

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

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.622506Z digest=sha256:8f4011ebd059a1a8db6b73bc4c2e27f7b17916eaff57692d029bbe444ff87bee

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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no resolver link, observed 2026-08-02T20:44:03.712937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:44:03.712937Z digest=sha256:4ad67c2912243c145f3740ed8e8bacbfa0d8c784e6e1ef3ec1545b8648020595

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-02T20:44:03.789427Z digest=sha256:4ac0a817411cb9be871f25b644d2af2880bfa4b4a86343363ccc862b9a710530

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

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source=pdf_text observed=2026-08-02T20:44:03.877190Z digest=sha256:14282d6cd80efd6b8c7d9f5381fe9024ae516fa165fc196d5de065ec1b69d0a5

Pith citing papers

No inbound Pith citation observations are available.