The autocorrelation of the möbius function and chowla's conjecture for the rational function field

Dan Carmon; Zeév Rudnick

doi:10.1093/qmath/has047

The autocorrelation of the möbius function and chowla's conjecture for the rational function field

Dan Carmon, Zeév Rudnick

Tel Aviv University

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

Abstract

We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field.

Original language	English
Pages (from-to)	53-61
Number of pages	9
Journal	Quarterly Journal of Mathematics
Volume	65
Issue number	1
DOIs	https://doi.org/10.1093/qmath/has047
State	Published - Mar 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/qmath/has047

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title = "The autocorrelation of the m{\"o}bius function and chowla's conjecture for the rational function field",

abstract = "We prove a function field version of Chowla's conjecture on the autocorrelation of the M{\"o}bius function in the limit of a large finite field.",

author = "Dan Carmon and Ze{\'e}v Rudnick",

note = "Funding Information: The research leading to these results has received funding from the European Research Council under the European Union{\textquoteright}s Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement no. 320755.",

year = "2014",

month = mar,

doi = "10.1093/qmath/has047",

language = "الإنجليزيّة",

volume = "65",

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journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

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AU - Carmon, Dan

AU - Rudnick, Zeév

N1 - Funding Information: The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement no. 320755.

PY - 2014/3

Y1 - 2014/3

N2 - We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field.

AB - We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field.

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U2 - 10.1093/qmath/has047

DO - 10.1093/qmath/has047

M3 - مقالة

SN - 0033-5606

VL - 65

SP - 53

EP - 61

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 1

ER -

The autocorrelation of the möbius function and chowla's conjecture for the rational function field

Abstract

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