Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:17:44.550440Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.08154.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:17:44.550440Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
33 of 33 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation acb7c97b-6bf6-4062-aad4-1f98b00e89e2 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Angst, F
Reference 1
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.
Observation 0a706219-0d5f-4b6f-b997-a002cf89af24 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Bogomolny, O
Reference 2
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.
Observation 3ea442a7-71ef-4206-9d5c-1ec672d58e3f · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Bloch and G
Reference 3
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.
Observation f94d1d33-65ae-465f-b6b1-80032f0542af · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 4
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.
Observation 94daf727-5bd7-410c-b883-634a92af1755 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 5
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.
Observation a69d2f9d-13c8-4781-82e6-29d0d94e77ce · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Das, The average number of real zeros of a random trigonometric po lynomial, Proc
Reference 6
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.
Observation 3048c33a-24c5-4ace-9b43-ce0cd100ea74 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Dunnage, The number of real zeros of a random trigonometric polynomia l, Proc
Reference 7
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.
Observation 0a605113-e948-48a6-b51e-874e97b45593 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Edelman and E
Reference 8
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.
Observation 89ef630c-993e-4601-8860-e0a76d4f37b6 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Erd˝ os and A
Reference 9
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.
Observation e9b8be2d-1702-44e0-801a-0c9b0cf00a64 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand, On the variance of the number of real roots of a random trigono metric polynomial, J
Reference 10
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.
Observation ced003e8-0845-47f4-9f07-ea067d454ed4 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand, On the variance of the number of real zeros of a random trigono metric polynomial, J
Reference 11
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.
Observation 32dfd678-a2ea-41c7-80a7-e67346541e48 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand, Topics in random polynomials , Pitman Res
Reference 12
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.
Observation 9e0b8691-73f6-4c45-806c-72f2c902cba6 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand and T
Reference 13
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.
Observation 26bdf24f-a607-45ad-95da-ea356264ed92 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 14
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.
Observation 73059a97-85b5-4080-8763-3f722438d016 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Granville and I
Reference 15
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.
Observation 78bb6373-a86f-4aef-a705-4b2b8a50ff01 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 16
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.
Observation 8fac3082-6066-451f-88a4-c9924a228f38 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 17
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.
Observation 161c5bec-86c6-41f8-9272-442bc125ce76 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Kac, On the average number of real roots of a random algebraic equa tion, Bull
Reference 18
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.
Observation f08f2b1c-5279-4fce-a725-8af545883a6f · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Kac, On the average number of real roots of a random algebraic equa tion
Reference 19
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.
Observation c7917577-3f42-453b-bb91-19340a40acb0 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 20
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.
Observation fffd814d-1603-4ccc-991b-b38f0cd57a2b · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 21
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.
Observation fb2eec79-e90d-45a4-8b88-29ef133ba874 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 22
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.
Observation f5f848be-8e98-44f4-8d19-7a8561cce8aa · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients
Reference 23
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.
Observation fc0e08c1-6c6a-4edf-ad4f-07efb95c9495 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Qualls, On the number of zeros of a stationary Gaussian random trigon ometric polynomial , J
Reference 24
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.
Observation 56bbb6e2-7c35-4205-afb0-7fe7c53328a8 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 25
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.
Observation 7f4fda2b-7237-4cea-879f-da0d0d78a786 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Pure Appl
Reference 26
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.
Observation 89d0c7f1-25d5-4dbc-9e85-20d9f5b1448d · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Rudin, Real and Complex Analysis , McGraw-Hill (1974)
Reference 27
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.
Observation 5b997cac-7785-4036-b545-7f4383df7f03 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Sambandham, On the number of real zeros of a random trigonometric polynom ial, Trans
Reference 28
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.
Observation 6270ab9c-b348-4302-a3cf-1e7375f7d1dc · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Schur, Untersuchungen uber algebraische Gleichungen , Sitzungsber
Reference 29
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.
Observation 6a3662c9-9a52-4d6c-8dc8-b9549bb628ce · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Szeg¨ o, Bemerkungen zu einem Satz von E
Reference 30
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.
Observation fd9a698c-3412-462e-bb6b-101317fb28f7 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 31
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.
Observation 2c3ab428-01d8-4f3d-b28c-81c4ad03ba59 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 32
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.
Observation fffaed23-b728-4972-8815-d3ee22d3c0a2 · outbound
Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work
Reference 33
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.
No inbound Pith citation observations are available.