Pith. sign in

Paper Citation Record · LEDGER

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$

As of 18 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2509.04212.

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

pith.paper-citation-record.v1
2509.04212 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:30:45.676956Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

38 of 38 outbound references displayed

  • verified exact8
  • verified fuzzy19
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b831d139-c4d8-449a-9819-821c23ef2c32 · outbound

This paper cites On $L^\alpha$-flatness of Erd\H{o}s-Littlewood's polynomials.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ On $L^\alpha$-flatness of Erd\H{o}s-Littlewood's polynomials

Reference 1

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.540659Z digest=sha256:6fad6dea1a79e02077625701bc4a99a5d02f7481d18f229d41eca9618a764a00

Observation c1f3b6ba-63b6-40d7-93a4-01b3732fe281 · outbound

This paper cites Some Notes on Flat Polynomials.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Some Notes on Flat Polynomials

Reference 2

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local_arxiv, observed 2026-08-05T10:30:45.792288Z

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source=pdf_text observed=2026-08-05T10:30:45.545020Z digest=sha256:2664770786a4ff9cbd22179924129f7afff53f1cf09e06d684c186f2fbcc5019

Observation 527b4506-13da-445c-b2bc-14da04837bba · outbound

This paper cites On flat polynomials with non-Negative coefficients.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ On flat polynomials with non-Negative coefficients

Reference 3

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local_arxiv, observed 2026-08-05T10:30:45.777102Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.548977Z digest=sha256:f723302713757b4556c040326f2b4c775be663946e3dc9ab3609c7d62cf144a7

Observation e0bf0108-78c6-4d1b-a3b7-6632785a2d7d · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.552965Z digest=sha256:df042b79ff6d7d430916fd8dc5c3a68b42c7a47bf4da3b1bbcb7befda9fdbce0

Observation 11460c9d-a431-42b8-a2e3-3032c3311795 · outbound

This paper cites Exponential sums of the M\"{o}bius function and flat polynomials.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Exponential sums of the M\"{o}bius function and flat polynomials

Reference 5

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local_arxiv, observed 2026-08-05T10:30:45.761839Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.557050Z digest=sha256:66f33a6a0b5e4798eec110b9ae8a6d1f225264bd63470ada6e6a43c9b08bc89b

Observation 23fb8963-25a7-49e3-a5a6-4019f8bc61f7 · outbound

This paper cites H., A Class of Littlewood Polynomials that are Not Lα-Flat ( with an appendix with M.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ H., A Class of Littlewood Polynomials that are Not Lα-Flat ( with an appendix with M

Reference 6

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.561173Z digest=sha256:1e485336470f83d1daffd147b90fd1dfc401b78758f3d708a1a49cef2d1a3a1c

Observation cbfd3b0e-a95a-4c6f-9052-19968f94bc29 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 7

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.565290Z digest=sha256:58ee1e5ce370b9948a7b8b54a83b7f23d0dc4eaeab65153d70f0dd94fb00aa37

Observation db21194d-de35-4712-b0c3-470eac8f6847 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 8

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doi, observed 2026-08-05T10:30:45.731137Z

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source=pdf_text observed=2026-08-05T10:30:45.568841Z digest=sha256:4b84b73d1fde61165b925b2fd9a456f09e9c74c501ac720b7f75dbdcb3c16c7c

Observation e0f11f9e-6f99-43b1-b42d-5540ee66637f · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 9

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.572895Z digest=sha256:e875ff48a88a61d7d55afba78e19256244d1adda6e831ed5553a66f7edb724b8

Observation cfbe456e-baee-4984-adf7-93e0a1c20a6a · outbound

This paper cites Baker and G.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Baker and G

Reference 10

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.577096Z digest=sha256:dc2318eda2d06e5427bef40f184d82ad99fb8cfb8b606ce257da3816c4bd1ab7

Observation 77143f17-c93b-4160-98b2-95a4327692ab · outbound

This paper cites Beller and D.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Beller and D

Reference 11

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source=pdf_text observed=2026-08-05T10:30:45.581116Z digest=sha256:dd2ce00f6f9aec11c806cf3b58b0cb426db22da223e7ef213e963fe3faf8ccb1

Observation adc7def1-8c23-405a-834e-901db7e60277 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.584584Z digest=sha256:995e4dea29686b7801424e136d85a7baf31fcd9de847c8174ad9916bc80054c1

Observation 14a73602-216b-4deb-a980-259d493de896 · outbound

This paper cites Borwein and M.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Borwein and M

Reference 13

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source=pdf_text observed=2026-08-05T10:30:45.588349Z digest=sha256:42e4d49eb37ef7d28f78e63a457ed6dc169f953b2892d239ce52326a1531b9b8

Observation ecc7ba5d-5258-441b-a13c-7f0f11d30a0f · outbound

This paper cites Borwein & M.J.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Borwein & M.J

Reference 14

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doi, observed 2026-08-05T10:30:45.720267Z

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source=pdf_text observed=2026-08-05T10:30:45.592473Z digest=sha256:5daab0362f6eb7bac64c9d4394144852bb972201b4bc82ff45ba1f33c9e719df

Observation 330e672c-df4d-444d-af8e-967aa3189b83 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.596714Z digest=sha256:50e0003f9875e1cb9e06aa72317bd8127839774fd5b8617192f023b3bf99d905

Observation 9b514ba5-fa95-40d6-ae5c-d15a3b541409 · outbound

This paper cites The sequence of partial sums of a unimodular power series is not ultraflat.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ The sequence of partial sums of a unimodular power series is not ultraflat

Reference 16

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local_arxiv, observed 2026-08-05T10:30:45.747276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.600199Z digest=sha256:cece535b39b5b7e3e5e069a35dc03a46c839a4d2123bedd1435326cf832c5833

Observation 827c2998-d0f2-4a3e-a637-62c8c0893323 · outbound

This paper cites Erd˝ os, An inequality for the maximum of trigonometric, Ann.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Erd˝ os, An inequality for the maximum of trigonometric, Ann

Reference 17

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.603974Z digest=sha256:42947eaac53e069663ae3b655fe32094f9bc24c7b2aad3a0bb69bf65eb070ae6

Observation cd13355f-1199-477c-9392-0afdf70a14f8 · outbound

This paper cites Erd˝ os, Some unsolved problems, Michigan Math.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Erd˝ os, Some unsolved problems, Michigan Math

Reference 18

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.607903Z digest=sha256:bdb9d7b442c9812f7af52219c1f42dbad3460e2cae9e3a7affa0f0cf6b454848

Observation 0bb19193-5912-43f5-8851-d106dc926182 · outbound

This paper cites Erd˝ os, Problems and results on polynomials and interpolation.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Erd˝ os, Problems and results on polynomials and interpolation

Reference 19

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raw_fallback, observed 2026-08-05T10:30:46.009157Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.611644Z digest=sha256:d94c0b08b642560816a72a459dbc2f531950c83e17c0960bec147fc1cca6ef37

Observation d5d59b6d-ab5d-46d6-851d-4f1649401409 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 20

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.614845Z digest=sha256:77d82431f52512596a66b2369fdcb04cbc6c8046c1a311c310e4cee7fb75188c

Observation 258f6f18-718e-4403-83ab-daa42eae7ff8 · outbound

This paper cites Guenais, Morse cocycles and simple Lebesgue spectrum, Ergodic Theory Dynam.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Guenais, Morse cocycles and simple Lebesgue spectrum, Ergodic Theory Dynam

Reference 21

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.618131Z digest=sha256:d4a2a13d4f203f7d0fc4d08842a68851617599b7de0edc5f764e5fc13322be5a

Observation 4907edea-98b0-4fda-8d73-12726d719eb4 · outbound

This paper cites Hajela and B.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Hajela and B

Reference 22

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source=pdf_text observed=2026-08-05T10:30:45.621202Z digest=sha256:0e78ad734740faac7e05c7583948aae3c7c9ff11985f58f45daf2e5fdace5072

Observation a2778326-80b0-48db-8da5-3a812814d116 · outbound

This paper cites Helson, Cocycles on the circle , J.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Helson, Cocycles on the circle , J

Reference 23

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.624583Z digest=sha256:889b7f934de9239f6b742cb8525e1221928936ac076480c43d63271c7a837a0d

Observation 848ecebb-846a-463b-a6b9-bc90fbf487b1 · outbound

This paper cites Jedwab, A survey of the merit factor problem for binary sequences, In sequences and their applications-SETA 2004 (pp.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Jedwab, A survey of the merit factor problem for binary sequences, In sequences and their applications-SETA 2004 (pp

Reference 24

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.627826Z digest=sha256:9469bc74343d46ad7afb154154d8d970a751df1c3b1a0f6763a126671a8336fe

Observation 0988de4e-f0f4-4ce3-bfcb-aff0b9484d06 · outbound

This paper cites Kahane, Sur les polynˆ omes ` a coefficients unimodulaires,(French) Bull.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Kahane, Sur les polynˆ omes ` a coefficients unimodulaires,(French) Bull

Reference 25

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.631269Z digest=sha256:18e6f710f089107422c07f7094f03e483d1ea449b5c76c2d6c21ffaebee115d6

Observation ac2418c1-69f4-432c-a14e-59e31b13e526 · outbound

This paper cites Koskela, Some generalizations of Clarkson’s inequalities,Publikacije Elek- trotehnickog Fakulteta.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Koskela, Some generalizations of Clarkson’s inequalities,Publikacije Elek- trotehnickog Fakulteta

Reference 26

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Observation 75d83b0e-70dd-4fbb-a3a4-85ed7aaceac3 · outbound

This paper cites The London meetings 2012–2014.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ The London meetings 2012–2014

Reference 27

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.638032Z digest=sha256:cf20b3f8cbb16c2598db5592ad3b6bd9435f5122c6126d8be4bcad810cdfe509

Observation c7166bb6-e9a9-4041-bab3-3ad4ec551853 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 28

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raw_fallback, observed 2026-08-05T10:30:45.913220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.641419Z digest=sha256:d45dfe033e630e45aa0aad4cc850fcf936ff9992310605c3ee4fcef457ad5922

Observation 3e20ba46-80f9-4356-8cd6-4de5d18cd6de · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-05T10:30:45.902211Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.645644Z digest=sha256:796b98bdd2fcba3485a7b38c69b7cc3a70b52eb2956710afbcfa65eaa99368ed

Observation 91759b19-7e36-4e5f-b307-0db3e44fa90b · outbound

This paper cites Newman, Norms of polynomials, Amer.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Newman, Norms of polynomials, Amer

Reference 30

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raw_fallback, observed 2026-08-05T10:30:45.891507Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.649031Z digest=sha256:7cb1120f9e7154adb2661902cec516ef30b44c157313ff78a584cc7a95c434c4

Observation 8c330d65-a3eb-4d4a-82fa-3efeaa15b6c4 · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 31

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raw_fallback, observed 2026-08-05T10:30:45.880380Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.652392Z digest=sha256:a0161dfa754f0efd905328b621929a6facfa789aa321f4dcbb36ad84069ac6da

Observation 0dd5b921-dbc9-47cb-a212-8e64e110139e · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 32

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raw_fallback, observed 2026-08-05T10:30:45.869941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.656165Z digest=sha256:1a875668bf93afb53556f7828f213d12844c008eda6c104f1e92d9601a2025dd

Observation 568bac35-b953-41e4-8b6b-6c4de2ca6e0c · outbound

This paper cites In: Butler S, Cooper J, Hurlbert G, eds.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ In: Butler S, Cooper J, Hurlbert G, eds

Reference 33

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raw_fallback, observed 2026-08-05T10:30:45.859269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.659328Z digest=sha256:60c3f615b116ee898d457a87e8e4f332880f78ba3cfe4438469c44efaac9678c

Observation de387903-714b-470b-b904-501bbcfe66d5 · outbound

This paper cites Saffari, Barker sequences and Littlewood two-sided conjectures on polyno- mials with ±1 coefficients, S´ eminaire d’Analyse Harmonique, Ann´ ee 1989/90, 139–151, Univ.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Saffari, Barker sequences and Littlewood two-sided conjectures on polyno- mials with ±1 coefficients, S´ eminaire d’Analyse Harmonique, Ann´ ee 1989/90, 139–151, Univ

Reference 34

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raw_fallback, observed 2026-08-05T10:30:45.847859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.663179Z digest=sha256:b8c6252d002fa4f385590403a6a01c561c0a5e66053b95e5bab7e8ba23f5f810

Observation d31df6de-d86e-4792-adc4-8ae7175de5e8 · outbound

This paper cites Turyn and J.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Turyn and J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:30:45.836698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.666332Z digest=sha256:5643c6b6443ff2b1ee0b9c4985296453aa906d0898845f9b0ddd3d27d31a61b8

Observation 7428e7e6-d905-4b9e-b175-74a6add12b1c · outbound

This paper cites an unresolved cited work.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:30:45.826224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.669910Z digest=sha256:3c817c313ad1a91faa08d0bfe8b91d460f4d38bc8fa0b504aab5041c034522cc

Observation 6f988642-a77a-4093-b55e-3fe71913725a · outbound

This paper cites Yu, A Note on Barker Sequences and the L1-norm of Littlewood Poly- nomials, Comptes Rendus.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Yu, A Note on Barker Sequences and the L1-norm of Littlewood Poly- nomials, Comptes Rendus

Reference 37

Resolution
verified exact
doi, observed 2026-08-05T10:30:45.709040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.673551Z digest=sha256:8c0264ae0fc3d69164c93a24a8e0c257d5cf9bf6c0f73c964decb0db06f8f8bc

Observation c62e6347-3192-4449-a732-d5a84428e3cb · outbound

This paper cites Zygmund, Trigonometric Series vol.

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$ Zygmund, Trigonometric Series vol

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:30:45.816497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T10:30:45.676956Z digest=sha256:1754d7054b9a2437890ae28913e14556fab0ec047426f764236472b0e730a90c

Pith citing papers

No inbound Pith citation observations are available.