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Paper Citation Record · LEDGER

The asymptotic number of zeros of exponential sums in critical strips

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.09491.

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

pith.paper-citation-record.v1
1908.09491 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:23:24.166323Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dcc40b84-1c62-4a20-b61a-598204f5728e · outbound

This paper cites J., Sur les z´ eros de la fonctionζ(s) de Riemann.

The asymptotic number of zeros of exponential sums in critical strips J., Sur les z´ eros de la fonctionζ(s) de Riemann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.858177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:23.957140Z digest=sha256:de592a00938b75a9aca757e591b2573c62f4d6fe79790e6a96eb49997e5c80cf

Observation e1e2d0b4-3dfd-4646-9984-e07ddcbb716f · outbound

This paper cites Ishizaki, K.

The asymptotic number of zeros of exponential sums in critical strips Ishizaki, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.701001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.044086Z digest=sha256:d7fcdba8e562b04c866efd28aac475295947759418b1c08e53946cbf4d878157

Observation d87cdc06-e117-43d4-988f-d0bad670fbb9 · outbound

This paper cites Generalization of P\'olya's zero distribution theory for exponential polynomials, plus sharp results for asymptotic growth.

The asymptotic number of zeros of exponential sums in critical strips Generalization of P\'olya's zero distribution theory for exponential polynomials, plus sharp results for asymptotic growth

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:23:24.268825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.110352Z digest=sha256:f58e80db9756d93c555e8a6092a4216ca74a54e9a90d85623e3b4ee8b9dd4c77

Observation db753745-b1ca-4423-8261-968606678b62 · outbound

This paper cites an unresolved cited work.

The asymptotic number of zeros of exponential sums in critical strips Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:24.690088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.133627Z digest=sha256:e042f790bc0c8309990993efcc10ded35180910eb4716a738ea788e746642d2e

Observation 211b9b48-c1d2-4dc4-8b74-f530a58f04ed · outbound

This paper cites J., The zeros of exponential polynomials.

The asymptotic number of zeros of exponential sums in critical strips J., The zeros of exponential polynomials

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.679075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.137815Z digest=sha256:e4f171d9458144fcbab738cccaf24f5c3b2c5a5313d7ffbb841e377dd75912a4

Observation 79c8cd77-d2a1-4273-9f38-7a21214cb22a · outbound

This paper cites E., On the zeros of exponential sums and integrals.

The asymptotic number of zeros of exponential sums in critical strips E., On the zeros of exponential sums and integrals

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.542386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.144387Z digest=sha256:f54c26db44af294a4639fff4db050a5fe81fd913cc65e21610e1cddc2bbdf679

Observation 2e1deba8-0131-4946-bcf9-0428d5d0de0f · outbound

This paper cites Sitz.-Ber.

The asymptotic number of zeros of exponential sums in critical strips Sitz.-Ber

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.450509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.150573Z digest=sha256:e02892d7ff98a5e238c7b14657f0867349aa12163a42cdd2b2d6f05df430322c

Observation 53061d9b-8094-4f58-b0fb-a9d01a592fba · outbound

This paper cites an unresolved cited work.

The asymptotic number of zeros of exponential sums in critical strips Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:24.438423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.154428Z digest=sha256:6525c58660aad4808c22e0d409b1f94a15c157e73742c5d5577e6a942dcf6a66

Observation d85a9bd7-f321-4d9a-90a5-86dbe7421b9e · outbound

This paper cites an unresolved cited work.

The asymptotic number of zeros of exponential sums in critical strips Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:24.428317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.158186Z digest=sha256:8f21e54e81f337588bac6825571ffca33fc858912cff06ce396d578a0ca83a80

Observation adf799e1-0eea-4a73-a0fb-86189cded620 · outbound

This paper cites an unresolved cited work.

The asymptotic number of zeros of exponential sums in critical strips Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:23:24.416348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.161897Z digest=sha256:e7bdcda77b874fa4301684b7700694908b0ef2f9430144c7eb8fb99dde3da1d6

Observation 66992212-cef2-4856-85f7-a88d111c6dba · outbound

This paper cites E., Expansion problems of ordinary linear differen- tial equations with auxiliary conditions at more than two points.

The asymptotic number of zeros of exponential sums in critical strips E., Expansion problems of ordinary linear differen- tial equations with auxiliary conditions at more than two points

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:23:24.405493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:23:24.166323Z digest=sha256:e5f1aa9746b355604ebc3a54494ff23f32fa6ec539feaf611c8be17aa5b4ea28

Pith citing papers

No inbound Pith citation observations are available.