RUDIN-SHAPIRO SEQUENCES ALONG SQUARES

被引：9

作者：

Mauduit, Christian ^{[1
,2
]}

Rivat, Joel ^{[3
]}

机构：

[1] Univ Aix Marseille, Case 907,163 Ave Luminy, F-13288 Marseille 9, France

[2] CNRS, UMR 7373, Inst Math Marseille, Inst Univ France, Case 907,163 Ave Luminy, F-13288 Marseille 9, France

[3] Univ Aix Marseille, CNRS, UMR 7373, Inst Math Marseille, Case 907,163 Ave Luminy, F-13288 Marseille 9, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 11期

基金：

奥地利科学基金会;

关键词：

Rudin-Shapiro sequences; exponential sums; OF-DIGITS FUNCTION; POLYNOMIAL-SEQUENCES; LEBESGUE COMPONENT; ERGODIC AVERAGES; ARITHMETIC SETS; PRIME-NUMBERS; PROPERTY; SPECTRUM; SUM; THEOREMS;

D O I：

10.1090/tran/7210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate exponential sums of the form Sigma(n <= x) f(n(2)) e(nu n) for a large class of digital functions f and nu is an element of R. We deduce from these estimates the distribution along squares of this class of digital functions which includes the Rudin-Shapiro sequence and some of its generalizations.

引用

页码：7899 / 7921

页数：23