On a divisor problem related to a certain Dedekind zeta-function

被引：0

作者：

Sharma, Anubhav ^{[1
]}

Sankaranarayanan, Ayyadurai ^{[1
]}

机构：

[1] Univ Hyderabad Cent Univ, Sch Math & Stat, PO Prof CR Rao Rd, Hyderabad 500046, India

来源：

JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 02期

关键词：

DIRICHLET SERIES; NUMBER; IDEALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the integral power sums of coefficients of the Dedekind zeta function of a non-normal cubic extension K3 of rational field Q given by irreducible polynomial f (x) = x(3) +ax(2) + bx + c and prove asymptotic formulae for ?(n=x) a(k,K3) (n) with tightened error terms fork = 2, where (?(K3)(s))(k) := ?(8)(n=1) (a)k,K3( (n))/(n)s .

引用

页数：94

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