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.
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收藏
页码：399 / 404
页数：6
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