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
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页数：20
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