MOMENTS OF AVERAGES OF RAMANUJAN SUMS OVERNUMBER FIELDS

被引：1

作者：

Chaubey, Sneha ^{[1
]}

Goel, Shivani ^{[1
]}

机构：

[1] IIIT Delhi, Dept Math, New Delhi 110020, India

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2024年 / 71卷 / 01期

关键词：

Ramanujan sums; number fields; Dedekind zeta function; Lindelof hypothesis;

D O I：

10.7169/facm/2136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming the generalized Lindel & ouml;f hypothesis, we provide asymptotic formulas forthe mean values of the first and second moments of Ramanujan sums over any number field. Additionally, unconditionally, we estimate the second moment of Ramanujan sums over cyclotomicnumber fields

引用

页数：20

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