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Source: paper_references, paper_reference_links, observed 2026-08-12T10:54:36.359602Z
Paper Citation Record · LEDGER
On the mean values of the error terms in Mertens' theorems
As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2411.18903.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact1
- verified fuzzy23
- unresolved3
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- metadata mismatch0
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Outbound references
Observation 305f5115-270a-4ed8-9588-faa3c3e00a53 · outbound
This paper cites Counting zeros of Dirichlet L-functions.
On the mean values of the error terms in Mertens' theorems Counting zeros of Dirichlet L-functions
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.827900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 441d8521-3178-4463-8085-c0f3d6f09586 · outbound
This paper cites The mean square of the er- ror term in the prime number theorem.
On the mean values of the error terms in Mertens' theorems The mean square of the er- ror term in the prime number theorem
Reference 2
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- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.817774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6da591db-aadf-40fe-a931-71639723fe8b · outbound
This paper cites On the first sign change in Mertens’ theorem.
On the mean values of the error terms in Mertens' theorems On the first sign change in Mertens’ theorem
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.807563Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bcff5d74-ac4d-44bf-8f3b-4822289777e9 · outbound
This paper cites An analytic method for bounding ψ(x).
On the mean values of the error terms in Mertens' theorems An analytic method for bounding ψ(x)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.797551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b99a7563-c38f-47fd-8844-9e21ca8871fb · outbound
This paper cites Davenport.
On the mean values of the error terms in Mertens' theorems Davenport
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.787437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d1034e7c-0192-41b9-9bbf-7dc7dd35dc32 · outbound
This paper cites Sagemath, the Sage Mathematics Software System (Version 10.4).
On the mean values of the error terms in Mertens' theorems Sagemath, the Sage Mathematics Software System (Version 10.4)
Reference 6
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-12T10:54:36.777611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4f945f7f-f159-40f5-aa0f-41fd8ab5dfe8 · outbound
This paper cites Oscillation of Mertens’ product formula.
On the mean values of the error terms in Mertens' theorems Oscillation of Mertens’ product formula
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.768104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 66ba16cc-96ff-4ab2-88e5-845b904f9c6a · outbound
This paper cites Sur l’ordre de grandeur des diff´ erencesψ(x)−x et π(x)−li(x).
On the mean values of the error terms in Mertens' theorems Sur l’ordre de grandeur des diff´ erencesψ(x)−x et π(x)−li(x)
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.758233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fe17c6c0-9077-4965-b8f2-9e8e5d95ee27 · outbound
This paper cites Comparative Prime Number Theory Problem List.
On the mean values of the error terms in Mertens' theorems Comparative Prime Number Theory Problem List
Reference 9
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- unresolved
- no resolver link, observed 2026-08-12T10:54:36.293091Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 069e5324-599c-4d47-aadf-5b7a600ace9a · outbound
This paper cites On the estimation of N (σ, T).
On the mean values of the error terms in Mertens' theorems On the estimation of N (σ, T)
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.748286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2e941581-68a4-4132-ba7b-d20c519e7a81 · outbound
This paper cites On the average value of π(t) − li(t).
On the mean values of the error terms in Mertens' theorems On the average value of π(t) − li(t)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.738002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c370dba6-10e2-4988-b4f9-e0fe2a3c2b2b · outbound
This paper cites A bias in Mertens’ product formula.
On the mean values of the error terms in Mertens' theorems A bias in Mertens’ product formula
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.728101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bf2067a7-51f0-4eb8-8df8-3bdd9a24d878 · outbound
This paper cites A note on Mertens’ formula for arithmetic progressions.
On the mean values of the error terms in Mertens' theorems A note on Mertens’ formula for arithmetic progressions
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.717965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 52760b6c-48d0-4c63-8426-dfcbe59e6fb9 · outbound
This paper cites Computing the Mertens and Meis- sel–Mertens Constants for Sums over Arithmetic Progressions.
On the mean values of the error terms in Mertens' theorems Computing the Mertens and Meis- sel–Mertens Constants for Sums over Arithmetic Progressions
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.707901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 51a1d2ec-4897-46a1-a72f-da6c401b932f · outbound
This paper cites Ein Beitrag zur analytischen Zahlentheorie.
On the mean values of the error terms in Mertens' theorems Ein Beitrag zur analytischen Zahlentheorie
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.698064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c719e386-888e-4cc0-a8ca-5fd85cedc4c1 · outbound
This paper cites an unresolved cited work.
On the mean values of the error terms in Mertens' theorems Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:54:36.688131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bef0beb-1baa-4cc4-a67c-f4ff253ea5bb · outbound
This paper cites On the remainder term of the prime number formula I. On a prob- lem of Littlewood.
On the mean values of the error terms in Mertens' theorems On the remainder term of the prime number formula I. On a prob- lem of Littlewood
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.677427Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85eb9173-b847-4959-a572-1db76ffe0c45 · outbound
This paper cites On the remainder term of the prime number formula II. On a theorem of Ingham.
On the mean values of the error terms in Mertens' theorems On the remainder term of the prime number formula II. On a theorem of Ingham
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.667217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e25f818c-4d40-4d7d-a703-69cf2e8ea3f5 · outbound
This paper cites Numerical computations concerning the GRH.
On the mean values of the error terms in Mertens' theorems Numerical computations concerning the GRH
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.656900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22a11a56-bf4e-4124-af2f-e811a845e87d · outbound
This paper cites Sur l’ordre maximum de la fonction somme des diviseurs.
On the mean values of the error terms in Mertens' theorems Sur l’ordre maximum de la fonction somme des diviseurs
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.646745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b55c5136-0d33-4af3-9d31-fe3507bb2b32 · outbound
This paper cites A generalization of Mertens’ theorem.
On the mean values of the error terms in Mertens' theorems A generalization of Mertens’ theorem
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.636191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cf4eade4-5f4f-4554-81b8-9ea5ee866396 · outbound
This paper cites Approximate formulas for some functions of prime numbers.
On the mean values of the error terms in Mertens' theorems Approximate formulas for some functions of prime numbers
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.624891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8e57f8b7-773e-4833-b02a-27e51685764c · outbound
This paper cites Rubinstein.
On the mean values of the error terms in Mertens' theorems Rubinstein
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.613738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5d992b83-b5e3-4268-b857-5c4b0db39313 · outbound
This paper cites Chebyshev’s bias.
On the mean values of the error terms in Mertens' theorems Chebyshev’s bias
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.505696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 43fe5e21-b927-4660-b7f7-8e1bb56c94f8 · outbound
This paper cites Asymptotic distribution of prime numbers in the mean.
On the mean values of the error terms in Mertens' theorems Asymptotic distribution of prime numbers in the mean
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.495284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f65858be-451b-473f-b23f-0f17a5f19a12 · outbound
This paper cites an unresolved cited work.
On the mean values of the error terms in Mertens' theorems Unresolved cited work
Reference 26
- Resolution
- verified exact
- raw_fallback, observed 2026-08-12T10:54:36.450143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8b6eac6b-a56c-4b10-9b98-6a2d0d93f804 · outbound
This paper cites Sums of powers of primes II.
On the mean values of the error terms in Mertens' theorems Sums of powers of primes II
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:54:36.483899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2dfd2574-87ea-45be-b4a9-e7b347df49f8 · outbound
This paper cites an unresolved cited work.
On the mean values of the error terms in Mertens' theorems Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:54:36.473022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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