Divisors of Bernoulli sums

被引：1

作者：

Weber, Michel ^{[1
,2
]}

机构：

[1] Univ Strasbourg 1, UFR Math, IRMA, F-67084 Strasbourg, France

[2] CNRS, F-67084 Strasbourg, France

来源：

RESULTS IN MATHEMATICS | 2007年 / 51卷 / 1-2期

关键词：

Bernoulli random variables; iid; Theta functions; divisors;

D O I：

10.1007/s00025-007-0265-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Bn = b(1)+ ... +b(n), n >= 1 where b(1), b(2), ... are independent Bernoulli random variables. In relation with the divisor problem, we evaluate the almost sure asymptotic order of the sums Sigma(N)(n=1)d(theta), (D)(B-n), where d(theta), (D)(B-n) = #{d is an element of D, d <= n(theta):d vertical bar B-n} and D is a sequence of positive integers.

引用

页码：141 / 179

页数：39

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