A remark on the Ramanujan sums

被引：0

作者：

Chadozeau, A ^{[1
]}

机构：

[1] Univ Bordeaux 1, Inst Math, F-33045 Talence, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2005年 / 341卷 / 07期

关键词：

D O I：

10.1016/j.crma.2005.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behaviour of the function A(q) = sup(x,3), vertical bar Sigma(x<n <= y) c(q)(n)vertical bar where c(q) (n) denotes the Ramanujan sum. We prove that q << A (q) << q root log(2)q and determine how sharp this estimation is.

引用

页码：399 / 404

页数：6

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