Paper Citation Record · LEDGER

Euler's $\ell$-totients and Riemann hypothesis

As of 11 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.26114.

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

pith.paper-citation-record.v1
2607.26114 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:27:44.628740Z

measured 20 of 20 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

20 of 20 outbound references displayed

verified exact0
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 30d22d28-ddd5-488b-8a6a-d0be39b5a494 · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.547989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c29805a4-2f97-4e4d-ab04-c9289b39351e · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.553374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b04f0db-0d3e-44f6-a9ba-74ed04fcd0a4 · outbound

This paper cites B´ aez-Duarte,New versions of the Nyman-Beurling criterion for the Riemann hypothesis, IJMMS31(2002), 387–406.

Euler's $\ell$-totients and Riemann hypothesis B´ aez-Duarte,New versions of the Nyman-Beurling criterion for the Riemann hypothesis, IJMMS31(2002), 387–406

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.557656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72ed1019-4472-4d26-8eeb-883afcf7f7fb · outbound

This paper cites Broughan, Equivalents of the Riemann hypothesis, Vol.

Euler's $\ell$-totients and Riemann hypothesis Broughan, Equivalents of the Riemann hypothesis, Vol

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.562131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e363756-b51f-4efa-8925-44fb8e953f40 · outbound

This paper cites Broughan, Equivalents of the Riemann hypothesis, Vol.

Euler's $\ell$-totients and Riemann hypothesis Broughan, Equivalents of the Riemann hypothesis, Vol

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.566349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0be41ad1-aec1-4215-bfe9-ba00c90867d2 · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.571083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2c2ad42-ac5e-4e13-98bc-2ed67cf5a511 · outbound

This paper cites J.64(2024), 343–353.

Euler's $\ell$-totients and Riemann hypothesis J.64(2024), 343–353

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.575635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 051166ce-a422-4c06-b107-9d9461967136 · outbound

This paper cites On probabilistic generalizations of the Nyman-Beurling cri- terion for the zeta function.

Euler's $\ell$-totients and Riemann hypothesis On probabilistic generalizations of the Nyman-Beurling cri- terion for the zeta function

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.580022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a189eec3-5086-4338-921f-189742894793 · outbound

This paper cites G´ en´ eralisation du crit` ere de Beurling-Nyman pour l’hypoth` ese de Riemann.

Euler's $\ell$-totients and Riemann hypothesis G´ en´ eralisation du crit` ere de Beurling-Nyman pour l’hypoth` ese de Riemann

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.584562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35798ec9-22d7-4ded-a0ce-43f95fa19a3a · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.588836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc9128b5-5008-4960-b0c7-38ad85346fc2 · outbound

This paper cites and Maji, B.,Hardy–Littlewood–Riesz type equivalent criteria for the Generalized Riemann hypothesis, Monatsh.

Euler's $\ell$-totients and Riemann hypothesis and Maji, B.,Hardy–Littlewood–Riesz type equivalent criteria for the Generalized Riemann hypothesis, Monatsh

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.592894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73f94129-fc56-4e18-b3f1-42653bc2bcd5 · outbound

This paper cites and Graham, S.

Euler's $\ell$-totients and Riemann hypothesis and Graham, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.596856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 693b334a-63fd-4b80-91c0-f99c6d176d4a · outbound

This paper cites Integer Seq.17(2014), Article Article 14.2.8.

Euler's $\ell$-totients and Riemann hypothesis Integer Seq.17(2014), Article Article 14.2.8

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.600824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d71efa8-0374-452c-a418-bfba983559f7 · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.604803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a58058d3-a9d5-44e6-8306-f283222913c3 · outbound

This paper cites J.74(2023), no.

Euler's $\ell$-totients and Riemann hypothesis J.74(2023), no

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.608772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 971c1092-f8bd-42b2-b7bb-9ed3d5574815 · outbound

This paper cites Tenenbaum,Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Cambridge Univ.

Euler's $\ell$-totients and Riemann hypothesis Tenenbaum,Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Cambridge Univ

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.612627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2a6f46f-a688-484f-9524-17d6b4908726 · outbound

This paper cites an unresolved cited work.

Euler's $\ell$-totients and Riemann hypothesis Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.616603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c906255f-7ddd-424e-bc83-fd1d5346ecf5 · outbound

This paper cites Walfisz,Weylsche Exponentialsum,men in der Neueren Zahlentheorie,, VEB Deutscher Verlag, Berlin, 1963.

Euler's $\ell$-totients and Riemann hypothesis Walfisz,Weylsche Exponentialsum,men in der Neueren Zahlentheorie,, VEB Deutscher Verlag, Berlin, 1963

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.620582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10fdee5f-b4fb-4922-88e0-3022b26abdac · outbound

This paper cites Yang,A generalization of Beurling’s criterion for the Riemann hypothesis, J.

Euler's $\ell$-totients and Riemann hypothesis Yang,A generalization of Beurling’s criterion for the Riemann hypothesis, J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.624847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b485cf-7c09-478e-b970-f036d6ddb049 · outbound

This paper cites Yang,A generalization of a result of Ba´ ez-Duarte, Balazard, Landreau, and Saias, J.

Euler's $\ell$-totients and Riemann hypothesis Yang,A generalization of a result of Ba´ ez-Duarte, Balazard, Landreau, and Saias, J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T01:27:44.628740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.