Paper Citation Record · LEDGER

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC

As of 22 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:1908.02234.

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

pith.paper-citation-record.v1
1908.02234 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:07:27.374519Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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verified fuzzy32
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42692979-f69b-475c-9113-9e32add1492c · outbound

This paper cites Bleher and X.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Bleher and X

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.850330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9375c689-36a8-46f1-953e-9b502a8fd813 · outbound

This paper cites Bloch and G.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Bloch and G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.825736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8255a318-f93e-463d-a800-282db1276471 · outbound

This paper cites an unresolved cited work.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:07:28.797944Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8cdc7f8d-efc1-4a97-97c8-13533add7268 · outbound

This paper cites Bogomolny, O.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Bogomolny, O

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.769542Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 94fa71b9-526f-41fd-a0a4-4e996e83f7b1 · outbound

This paper cites Edelman and E.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Edelman and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.736286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bba5d70c-3d56-4656-83b7-6d1a681358e8 · outbound

This paper cites Erd˝ os and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Erd˝ os and A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.711635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c90bba10-c553-447c-a1e2-5e3b076c3e38 · outbound

This paper cites Erd˝ os and P.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Erd˝ os and P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.684312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0dba1700-aef5-434c-90fd-39ac888a3bf8 · outbound

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

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Farahmand, Topics in random polynomials, Pitman Res

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.485239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6604d3d4-1a7f-432d-9f25-a926b5ee2d93 · outbound

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

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Farahmand, On the variance of the number of real zeros of a random trignometric polynomial, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.453159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ac009e9e-cfb6-407c-988e-da00c11622dc · outbound

This paper cites Fairley, Roots of random polynomials, Ph.D.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Fairley, Roots of random polynomials, Ph.D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.425228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 278a8ae0-7a48-4b4a-a34f-189b53f9c9d1 · outbound

This paper cites Forrester and G.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Forrester and G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.386605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a26936b6-e439-4602-9ee4-ff0bf04bd4c4 · outbound

This paper cites Granville and I.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Granville and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.343749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3b7c205b-13c2-47cf-b354-f212b1ff214c · outbound

This paper cites Hammersley, The zeros of a random polynomial, Proc.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Hammersley, The zeros of a random polynomial, Proc

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.305636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9fc40455-b1f6-4ecd-a354-7abaa1776360 · outbound

This paper cites Hannay, Chaotic analytic zero points: exact statistics for t hose of a random spin state, J.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Hannay, Chaotic analytic zero points: exact statistics for t hose of a random spin state, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.271093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cfe480b7-b85c-4fd4-bca0-cd3753412b90 · outbound

This paper cites Hough, M.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Hough, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.239748Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa67128c-3527-4ed3-aef5-4139e0a88146 · outbound

This paper cites Jamrom, On the average number of real roots of a random a lgebraic polynomial, Vestnik Leningrad.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Jamrom, On the average number of real roots of a random a lgebraic polynomial, Vestnik Leningrad

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.209195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5a74db5f-e472-40a9-aaa0-ca4be34775d5 · outbound

This paper cites Jamrom, The average number of real zeros of random polyn omials, Soviet Math.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Jamrom, The average number of real zeros of random polyn omials, Soviet Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.178900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec103b3b-a016-4222-a217-96c64ae799cf · outbound

This paper cites Kac, On the average number of real roots of a random algeb raic equation, Bull.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Kac, On the average number of real roots of a random algeb raic equation, Bull

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.140579Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 477bfcaf-4f98-48f9-a17d-68236f79a856 · outbound

This paper cites Littlewood and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Littlewood and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.080872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f46c14f8-845b-4868-9ab2-9dd480928298 · outbound

This paper cites Littlewood and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Littlewood and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:28.035962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64767435-0020-4d2e-8a8d-f9b5c0b61d1b · outbound

This paper cites Littlewood and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Littlewood and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.999056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 488d6ebb-f3c2-49f6-b55e-b600e3d50adf · outbound

This paper cites Littlewood and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Littlewood and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.968450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec66fc5f-a02e-4593-a478-69b54316e788 · outbound

This paper cites Littlewood and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Littlewood and A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.920128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f6ccf9ba-dd69-47ce-8088-df9260c70c89 · outbound

This paper cites Maslova, The variance of the number of real roots of rando m polynomials, Theor.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Maslova, The variance of the number of real roots of rando m polynomials, Theor

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.885283Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ea4a2cc-ce30-442b-9657-3ce65208ed91 · outbound

This paper cites Random polynomials: central limit theorems for the real roots.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Random polynomials: central limit theorems for the real roots

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:07:27.470022Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 31a9ab29-74bb-4d9d-865a-2eb396d13b7e · outbound

This paper cites Pritsker and A.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Pritsker and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.852294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 847d5164-0b7a-4c0c-87d2-01d2288cc4b5 · outbound

This paper cites Rice, Mathematical theory of random noise, Bell System Tec h J.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Rice, Mathematical theory of random noise, Bell System Tec h J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.819676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8718bf88-cffa-4627-9822-c07248d8f224 · outbound

This paper cites Shiﬀman and S.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Shiﬀman and S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.785850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a2f163c3-8daf-47df-a8a7-900f71d85432 · outbound

This paper cites Simon, Orthogonal Polynomials on the Unit Circle.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Simon, Orthogonal Polynomials on the Unit Circle

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.741065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e537b015-9452-4394-b9fc-bcf378e61c61 · outbound

This paper cites Stevens, The average and variance of the number of real z eros of random functions.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Stevens, The average and variance of the number of real z eros of random functions

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.686002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec4769cf-8736-447e-ad07-030591058032 · outbound

This paper cites Su and Q.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Su and Q

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.638864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 21d891dc-c3ba-4a24-9e9a-5ba0c4085c67 · outbound

This paper cites Wang, Bounds on the average number of real roots of a ran dom algebraic equation (Chinese), Chinese Ann.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Wang, Bounds on the average number of real roots of a ran dom algebraic equation (Chinese), Chinese Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.598358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20f13e6a-d4c8-403d-abc4-e70fd77e364b · outbound

This paper cites Wilkins, An asymptotic expansion for the expected number of real zeros of a random polynomial, Proc.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Wilkins, An asymptotic expansion for the expected number of real zeros of a random polynomial, Proc

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.536647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c12271fd-ed15-4a1d-b61f-7c49a4851f43 · outbound

This paper cites Yeager, Zeros of random orthogonal polynomials with comple x Gaussian coeﬃcients, Rocky Mout.

The Variance of the Number of Zeros for Complex Random Polynomials Spanned by OPUC Yeager, Zeros of random orthogonal polynomials with comple x Gaussian coeﬃcients, Rocky Mout

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:07:27.505487Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.