Möbius Disjointness for a Class of Exponential Functions-Reference-Cited by-同舟云学术

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Möbius Disjointness for a Class of Exponential Functions

Published:2022-05-10 Issue:4 Volume:73 Page:1427-1468
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Gu Weichen¹²,Wei Fei³

Affiliation:

1. Department of Mathematics, University of New Hampshire , Durham, NH 03824, USA

2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences , Beijing 100190, China

3. Yau Mathematical Sciences Center, Tsinghua University , Beijing 100084, China

Abstract

Abstract A vast class of exponential functions is shown to be deterministic. This class includes functions whose exponents are polynomial-like or ‘piece-wise’ close to polynomials after differentiation. Many of these functions are proved to be disjoint from the Möbius function.

Funder

F.W.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/qjmath/article-pdf/73/4/1427/47773177/haac009.pdf

Reference46 articles.

1. Exponential sums formed with the Möbius function;Baker;J. Lond. Math. Soc.,1991

2. On the correlation of the Moebius function with rank-one systems;Bourgain;J. Anal. Math.,2013

3. Möbius disjointness for interval exchange transformation on three intervals;Chaika;J. Mod. Dyn.,2019

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