The metric theory of the pair correlation function for small non-integer powers

Zeév Rudnick; Niclas Technau

doi:10.1112/jlms.12647

The metric theory of the pair correlation function for small non-integer powers

Zeév Rudnick, Niclas Technau

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

For (Formula presented.), we show that for almost all (Formula presented.), the pair correlation function of the sequence of fractional parts of (Formula presented.) is Poissonian.

Original language	English
Pages (from-to)	2752-2772
Number of pages	21
Journal	Journal of the London Mathematical Society
Volume	106
Issue number	3
DOIs	https://doi.org/10.1112/jlms.12647
State	Published - Oct 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms.12647

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title = "The metric theory of the pair correlation function for small non-integer powers",

abstract = "For (Formula presented.), we show that for almost all (Formula presented.), the pair correlation function of the sequence of fractional parts of (Formula presented.) is Poissonian.",

author = "Ze{\'e}v Rudnick and Niclas Technau",

note = "Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2022",

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doi = "10.1112/jlms.12647",

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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The metric theory of the pair correlation function for small non-integer powers

Abstract

All Science Journal Classification (ASJC) codes

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