The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field in characteristic 2

被引：14

作者：

Carmon, Dan ^{[1
]}

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 373卷 / 2040期

基金：

欧洲研究理事会;

关键词：

Mobius correlations; Chowla's conjecture; Berlekamp's discriminant; square independence;

D O I：

10.1098/rsta.2014.0311

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We prove a function field version of Chowla's conjecture on the autocorrelation of the Mobius function in the limit of a large finite field of characteristic 2, extending previous work in odd characteristic.

引用

页数：14

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