THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD

被引:24
作者
Carmon, Dan [1 ]
Rudnick, Zeev [1 ]
机构
[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel
基金
欧洲研究理事会;
关键词
D O I
10.1093/qmath/has047
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
引用
收藏
页码:53 / 61
页数:9
相关论文
共 9 条
[1]  
[Anonymous], 1947, Q. J. Math. Oxford Ser
[2]  
Bourgain J., 2011, ARXIV11100992V1
[3]   The Mobius function and statistical mechanics [J].
Cellarosi, F. ;
Sinai, Ya. G. .
BULLETIN OF MATHEMATICAL SCIENCES, 2011, 1 (02) :245-275
[4]  
Chowla S., 1965, Mathematics and its Applications
[5]  
Conrad K, 2005, PROG MATH, V239, P71
[6]   The Mobius function is strongly orthogonal to nilsequences [J].
Green, Ben ;
Tao, Terence .
ANNALS OF MATHEMATICS, 2012, 175 (02) :541-566
[7]  
Rosen M.I., 2002, GRAD TEXT M, V210
[8]  
Schmidt W., 2004, EQUATIONS FINITE FIE
[9]  
[No title captured]