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A variable coefficient multi-frequency lemma

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arxiv 2010.00812 v1 pith:3TAADHNA submitted 2020-10-02 math.CA

Shaoming Guo , Pavel Zorin-Kranich This is my paper · ORCID
classification math.CA
keywords arxivcoefficientlemmamulti-frequencyvariablebourgainconsidereddiscrete
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We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by Krause arXiv:1803.09431 and Roos arXiv:1907.00405.

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Cited by 1 Pith paper

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  1. A Variation Norm Carleson Theorem Along the Primes

    math.CA 2026-07 accept novelty 7.5 of 10

    The variational prime Carleson operator is bounded on ℓ^p for an r-dependent range c(r)<p<C(r) that approaches the full (1,∞) as r o∞, and the maximal version is bounded for all 1<p<∞.

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