Figures in squares

被引：81

作者：

Mauduit, Christian ^{[1
]}

Rivat, Joel ^{[1
]}

机构：

[1] Inst Math Luminy, CNRS, UMR 6206, FR-13288 Marseille 9, France

来源：

ACTA MATHEMATICA | 2009年 / 203卷 / 01期

关键词：

OF-DIGITS FUNCTION; POLYNOMIAL-SEQUENCES; C-GREATER-THAN-1; NUMBERS; VALUES; SUMS;

D O I：

10.1007/s11511-009-0040-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we answer a question proposed by Gelfond in 1968. We prove that the sum of digits of squares written in a basis q a (c) 3/4 2 is equidistributed in arithmetic progressions.

引用

页码：107 / 148

页数：42

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