English

A variable coefficient multi-frequency lemma

Classical Analysis and ODEs 2020-10-05 v1

Abstract

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.

Cite

@article{arxiv.2010.00812,
  title  = {A variable coefficient multi-frequency lemma},
  author = {Shaoming Guo and Pavel Zorin-Kranich},
  journal= {arXiv preprint arXiv:2010.00812},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T18:57:29.255Z