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Paper Citation Record · LEDGER

On primeness of the Selberg zeta-function

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03108.

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

pith.paper-citation-record.v1
1908.03108 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:17.436122Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9fc608aa-9a8c-4ed9-bd3b-66d655623650 · outbound

This paper cites an unresolved cited work.

On primeness of the Selberg zeta-function Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:17.667094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.373086Z digest=sha256:1336f335b06a0ebde6ae866e9597859921a02f4f02fcaf703010ea786737134e

Observation b413b2b3-9c20-4c2f-b034-acf743ff047b · outbound

This paper cites an unresolved cited work.

On primeness of the Selberg zeta-function Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:17.653401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.378982Z digest=sha256:ed44cf83ecb5582071c3568b1768f0f22a928266309ed65c4aa3b31d41bbcebd

Observation 244ebf96-8367-43e2-91b0-cff152c4fa41 · outbound

This paper cites Edrei , Meromorphic functions with three radially distributed val ues, Amer.

On primeness of the Selberg zeta-function Edrei , Meromorphic functions with three radially distributed val ues, Amer

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.639346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.383866Z digest=sha256:dc80bfb07daa5b5fde4cd1fcb4c98923cbc4d2f1d47bbb248965cf1103b45de6

Observation 0226a656-a621-44e9-b424-4998d15cce5f · outbound

This paper cites Garunk ˇstis and A.

On primeness of the Selberg zeta-function Garunk ˇstis and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.624724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.389103Z digest=sha256:e6618a01983eb30b35ff38a5ba3edd094ef1b9558e64919c49e8b1da05119cb8

Observation 5fa04c95-1f48-4773-b28f-67dc345d708f · outbound

This paper cites Garunkˇstis and R.

On primeness of the Selberg zeta-function Garunkˇstis and R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.609904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.394039Z digest=sha256:e609f82737669d980b04c88fd7d0345441d106aeec0787f81511b9a93f79aed8

Observation 31e1e805-685e-4bbe-9e85-71e4dd06c23a · outbound

This paper cites Garunkˇstis, R.

On primeness of the Selberg zeta-function Garunkˇstis, R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.595503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.398945Z digest=sha256:c019126b5843541eedfc6c82bd969a028f23ca053a540d1c4be4929f193e98da

Observation f76a22be-8bc8-48be-b470-b194eb53b774 · outbound

This paper cites Gross , On factorization of meromorphic functions , Trans.

On primeness of the Selberg zeta-function Gross , On factorization of meromorphic functions , Trans

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.580640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.404426Z digest=sha256:4747a15d14a57a4a66a1effacc64db4ffa8c73ded822ae91e4d57cd7afd4caf0

Observation d81edcdb-9663-458d-abdb-aef9a807bae1 · outbound

This paper cites Hejhal, The Selberg trace formula for P SL(2,R).

On primeness of the Selberg zeta-function Hejhal, The Selberg trace formula for P SL(2,R)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.565494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.409044Z digest=sha256:3f259c3f4e9550873c11b55c19ceaa2dc74a2e86736ce2f9285b51a49367a7ef

Observation 83a121c2-3ac8-4cb7-8a5b-c10c69c062f8 · outbound

This paper cites Lewin , Polylogarithms and associated functions , North-Holland Publishing Co., New York-Amsterdam, 1981.

On primeness of the Selberg zeta-function Lewin , Polylogarithms and associated functions , North-Holland Publishing Co., New York-Amsterdam, 1981

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.550130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.413645Z digest=sha256:e88ceea390cc89ffceb32b01950cfe5a32b75313c371f21386f0455068030934

Observation 21713086-b9db-4c17-9c17-d4cd43c8a4f3 · outbound

This paper cites Liao and C.-C.

On primeness of the Selberg zeta-function Liao and C.-C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.533620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.418039Z digest=sha256:b76da39ef52ec2522ffc70cef3c5046adfa3c2c549558b2afb632f5198c50b14

Observation 52a9a755-7f9c-4a2d-ae18-3b2cf8d71f3e · outbound

This paper cites Minamide , The zero-free region of the derivative of Selberg zeta funct ions, Monatsh.

On primeness of the Selberg zeta-function Minamide , The zero-free region of the derivative of Selberg zeta funct ions, Monatsh

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.519071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.422708Z digest=sha256:aecd737f76055b114ec8342c797a0bb3465c8a115167ec21a7100bb6d1b35b36

Observation f459d1eb-05bc-4a1c-8793-d425c8a67ce6 · outbound

This paper cites Randol , Small eigenvalues of the Laplace operator on compact Rieman n surfaces, Bull.

On primeness of the Selberg zeta-function Randol , Small eigenvalues of the Laplace operator on compact Rieman n surfaces, Bull

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.504329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.427273Z digest=sha256:4a84b383c092af7cf4edc6eca9a7dddcd543fb4ff0fb11d2bfd3046a28a18c51

Observation ae0f47d3-4625-4f83-bfd6-e7a3450df6a7 · outbound

This paper cites Randol , The Riemann hypothesis for Selberg’s zeta-function and the asymptotic behav- ior of eigenvalues of the Laplace operator , Trans.

On primeness of the Selberg zeta-function Randol , The Riemann hypothesis for Selberg’s zeta-function and the asymptotic behav- ior of eigenvalues of the Laplace operator , Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.489403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.431770Z digest=sha256:0b72c5a11175091dd2115e72d1042e3534f2158412157f27545330dcce613635

Observation e4ecb6c5-c335-46ab-b960-c6f335ba7bf6 · outbound

This paper cites Rosenbloom , The fix-points of entire functions , Meddel.

On primeness of the Selberg zeta-function Rosenbloom , The fix-points of entire functions , Meddel

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:17.473472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:42:17.436122Z digest=sha256:4263bc36020c2fb07cf5f1714a92cb3bb2bcde4bb77811fa674edf69c29fcd44

Pith citing papers

No inbound Pith citation observations are available.