On the distribution of squarefree integers in arithmetic progressions

被引：6

作者：

Le Boudec, Pierre ^{[1
]}

机构：

[1] EPFL SB MATHGEOM TAN MA C3 604, Batiment MA,Stn 8, CH-1015 Lausanne, Switzerland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2018年 / 290卷 / 1-2期

关键词：

Squarefree integers; Arithmetic progressions; Variance; FREE NUMBERS;

D O I：

10.1007/s00209-017-2023-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, we prove an upper bound for its variance as a varies over (Z/qZ)(x) which considerably improves upon earlier work of Blomer.

引用

页码：421 / 429

页数：9

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