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Paper Citation Record · LEDGER

Real zeros of random cosine polynomials with palindromic blocks of coefficients

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.

pith.paper-citation-record.v1
1908.08154 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:17:44.550440Z

measured 33 of 33 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

33 of 33 outbound references displayed

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  • verified fuzzy20
  • unresolved12
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation acb7c97b-6bf6-4062-aad4-1f98b00e89e2 · outbound

This paper cites Angst, F.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Angst, F

Reference 1

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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.

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Observation 0a706219-0d5f-4b6f-b997-a002cf89af24 · outbound

This paper cites Bogomolny, O.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Bogomolny, O

Reference 2

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Observation 3ea442a7-71ef-4206-9d5c-1ec672d58e3f · outbound

This paper cites Bloch and G.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Bloch and G

Reference 3

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Observation f94d1d33-65ae-465f-b6b1-80032f0542af · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 4

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

source=pdf_text observed=2026-08-14T12:17:44.417952Z digest=sha256:159182ba95c0f9fbc8fae356cd1c2543a22ee7f634e470ee50185a42cc5c0829

Observation 94daf727-5bd7-410c-b883-634a92af1755 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 5

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

source=pdf_text observed=2026-08-14T12:17:44.423848Z digest=sha256:22540435122dd36990ff6159796a7f4684e43b14b87292bedc93beb8c4a8f51a

Observation a69d2f9d-13c8-4781-82e6-29d0d94e77ce · outbound

This paper cites Das, The average number of real zeros of a random trigonometric po lynomial, Proc.

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

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

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Observation 3048c33a-24c5-4ace-9b43-ce0cd100ea74 · outbound

This paper cites Dunnage, The number of real zeros of a random trigonometric polynomia l, Proc.

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

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

source=pdf_text observed=2026-08-14T12:17:44.434363Z digest=sha256:4e1805a39800d292a713a23df69527c2e8de865441a87a4c280139e8074cfd68

Observation 0a605113-e948-48a6-b51e-874e97b45593 · outbound

This paper cites Edelman and E.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Edelman and E

Reference 8

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raw_fallback, observed 2026-08-14T12:17:44.967280Z

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=2026-08-14T12:17:44.438480Z digest=sha256:e5b1b65e907a1e7da7c14b95a806f1e292e612801494689c7ff1e19a3feb4a29

Observation 89ef630c-993e-4601-8860-e0a76d4f37b6 · outbound

This paper cites Erd˝ os and A.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Erd˝ os and A

Reference 9

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T12:17:44.442770Z digest=sha256:aa76c7cb3688d3931e58422c75dc83f1b0c71066b7b06737530055a26573cdc4

Observation e9b8be2d-1702-44e0-801a-0c9b0cf00a64 · outbound

This paper cites Farahmand, On the variance of the number of real roots of a random trigono metric polynomial, J.

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

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source=pdf_text observed=2026-08-14T12:17:44.446981Z digest=sha256:af7800cb12e82a31126529ba64970ecbffb6bd7266e5158a411a6a9da46eac9f

Observation ced003e8-0845-47f4-9f07-ea067d454ed4 · outbound

This paper cites Farahmand, On the variance of the number of real zeros of a random trigono metric polynomial, J.

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

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

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Observation 32dfd678-a2ea-41c7-80a7-e67346541e48 · outbound

This paper cites Farahmand, Topics in random polynomials , Pitman Res.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand, Topics in random polynomials , Pitman Res

Reference 12

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Observation 9e0b8691-73f6-4c45-806c-72f2c902cba6 · outbound

This paper cites Farahmand and T.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Farahmand and T

Reference 13

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Observation 26bdf24f-a607-45ad-95da-ea356264ed92 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-14T12:17:44.465922Z digest=sha256:559ef64921f5d36ffb5729e4d65ef133cb3c7c2a6fc17efe38e4c73c39cb17e4

Observation 73059a97-85b5-4080-8763-3f722438d016 · outbound

This paper cites Granville and I.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Granville and I

Reference 15

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

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Observation 78bb6373-a86f-4aef-a705-4b2b8a50ff01 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 16

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

source=pdf_text observed=2026-08-14T12:17:44.474934Z digest=sha256:121b514d25da2d458f50b9e0be5051aa62419764fb7c79a5b3a225dd190c7d11

Observation 8fac3082-6066-451f-88a4-c9924a228f38 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 17

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

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Observation 161c5bec-86c6-41f8-9272-442bc125ce76 · outbound

This paper cites Kac, On the average number of real roots of a random algebraic equa tion, Bull.

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

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source=pdf_text observed=2026-08-14T12:17:44.483868Z digest=sha256:a0a24f7afba88bd8fd88e384d187f8812ddf6b055d946d2d9f87a915d4144989

Observation f08f2b1c-5279-4fce-a725-8af545883a6f · outbound

This paper cites Kac, On the average number of real roots of a random algebraic equa tion.

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

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Observation c7917577-3f42-453b-bb91-19340a40acb0 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 20

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

source=pdf_text observed=2026-08-14T12:17:44.493250Z digest=sha256:8d2daed4d25744b145ebf9b857de8f4e9bf356a1a2e4a837335c54000ac242a6

Observation fffd814d-1603-4ccc-991b-b38f0cd57a2b · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 21

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

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Observation fb2eec79-e90d-45a4-8b88-29ef133ba874 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 22

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Observation f5f848be-8e98-44f4-8d19-7a8561cce8aa · outbound

This paper cites Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients.

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

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local_arxiv, observed 2026-08-14T12:17:44.593077Z

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

source=pdf_text observed=2026-08-14T12:17:44.507426Z digest=sha256:1c8c60d4350198c4cf4b3a16d89e853968b09a033c3c63022c152879d700ec65

Observation fc0e08c1-6c6a-4edf-ad4f-07efb95c9495 · outbound

This paper cites Qualls, On the number of zeros of a stationary Gaussian random trigon ometric polynomial , J.

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

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source=pdf_text observed=2026-08-14T12:17:44.512243Z digest=sha256:00de54835e7c775db2693108313f4a7388bc1eb26b83278594d3b9598dc4cf52

Observation 56bbb6e2-7c35-4205-afb0-7fe7c53328a8 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-14T12:17:44.516687Z digest=sha256:7ea3f99adf037e4a0d0814a30b8804ebf7b984ef78b1cee1f6089f9801f6cef5

Observation 7f4fda2b-7237-4cea-879f-da0d0d78a786 · outbound

This paper cites Pure Appl.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Pure Appl

Reference 26

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

source=pdf_text observed=2026-08-14T12:17:44.520938Z digest=sha256:5e5cba57b7884e5232eb7142f4081f816ad11b57c2734f95941919d74cda4351

Observation 89d0c7f1-25d5-4dbc-9e85-20d9f5b1448d · outbound

This paper cites Rudin, Real and Complex Analysis , McGraw-Hill (1974).

Real zeros of random cosine polynomials with palindromic blocks of coefficients Rudin, Real and Complex Analysis , McGraw-Hill (1974)

Reference 27

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raw_fallback, observed 2026-08-14T12:17:44.700856Z

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

source=pdf_text observed=2026-08-14T12:17:44.525549Z digest=sha256:c349bb0d24740059815d1cecfefa467225352b2f339d30b93a8bbf1b2a373ca3

Observation 5b997cac-7785-4036-b545-7f4383df7f03 · outbound

This paper cites Sambandham, On the number of real zeros of a random trigonometric polynom ial, Trans.

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

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raw_fallback, observed 2026-08-14T12:17:44.684908Z

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

source=pdf_text observed=2026-08-14T12:17:44.529723Z digest=sha256:f8c2706aec43bf1a69a57d712423387a9b4009dc60c6c42a6fac394e5c7f99b9

Observation 6270ab9c-b348-4302-a3cf-1e7375f7d1dc · outbound

This paper cites Schur, Untersuchungen uber algebraische Gleichungen , Sitzungsber.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Schur, Untersuchungen uber algebraische Gleichungen , Sitzungsber

Reference 29

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source=pdf_text observed=2026-08-14T12:17:44.533688Z digest=sha256:cf03a2e563b55944dd96ca0688ec2f0c4996ccd4ea6c139e00b4b8ee5192ac6e

Observation 6a3662c9-9a52-4d6c-8dc8-b9549bb628ce · outbound

This paper cites Szeg¨ o, Bemerkungen zu einem Satz von E.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Szeg¨ o, Bemerkungen zu einem Satz von E

Reference 30

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raw_fallback, observed 2026-08-14T12:17:44.654101Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T12:17:44.537556Z digest=sha256:0c7be85d2eb9bbe84b132dab4aea44c5e0af25a12e4971e6b4d9a053df4443b1

Observation fd9a698c-3412-462e-bb6b-101317fb28f7 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 31

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raw_fallback, observed 2026-08-14T12:17:44.640016Z

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

source=pdf_text observed=2026-08-14T12:17:44.541820Z digest=sha256:d00bd613d3ffa94cf0b65865c43eabec362b5789e3030f7ca411d4bc6c60a0f0

Observation 2c3ab428-01d8-4f3d-b28c-81c4ad03ba59 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 32

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raw_fallback, observed 2026-08-14T12:17:44.625667Z

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=2026-08-14T12:17:44.546208Z digest=sha256:9cfad8e74ed086ecac16deed07842e473177b2fb70abf7b170fad5787d7c7904

Observation fffaed23-b728-4972-8815-d3ee22d3c0a2 · outbound

This paper cites an unresolved cited work.

Real zeros of random cosine polynomials with palindromic blocks of coefficients Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-14T12:17:44.610284Z

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=2026-08-14T12:17:44.550440Z digest=sha256:a7f87d45af0a0ab6278d135014e043474b6dd6d63ed83e9dc0339ebfd8e396bb

Pith citing papers

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