Gaussian asymptotic properties of the sum-of-digits function

被引：16

作者：

Dumont, JM ^{[1
]}

Thomas, A ^{[1
]}

机构：

[1] INST MATH LUMINY,UNITE PROPRE RECH 9016,F-13288 MARSEILLE 9,FRANCE

来源：

JOURNAL OF NUMBER THEORY | 1997年 / 62卷 / 01期

关键词：

D O I：

10.1006/jnth.1997.2044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will show that the sum-of-digits function has an asymptotic Gaussian behaviour, and we deduce some new summational formulae. More precisely we consider numeration systems relative to substitutive bases, whose general case contains among others the case of Parry linear recurrent bases (as the Fibonacci sequence for instance). (C) 1997 Academic Press.

引用

页码：19 / 38

页数：20

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