Higher moment of coefficients of Dedekind zeta function

doi:10.1007/s11464-020-0816-2

Front. Math. China

2020, Vol. 15

Issue (1) : 57-67 https://doi.org/10.1007/s11464-020-0816-2

RESEARCH ARTICLE

Higher moment of coefficients of Dedekind zeta function

Guangwei HU, Ke WANG(

)

School of Mathematics, Shandong University, Jinan 250100, China

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Abstract

Let K₃ be a non-normal cubic extension over $ℚ$ .We study the higher moment of the coefficients aK₃ (n) of Dedekind zeta function over sum of two squares $∑ n 12 + n 22 ≤ x a K 3 l (n 12 + n 22)$ ,where 2≤l≤8 and n1,n2,l∈ $ℤ$ .

Keywords Non-normal cubic field Dedekind zeta function

Corresponding Author(s): Ke WANG

Issue Date: 09 March 2020

Cite this article:

Guangwei HU,Ke WANG. Higher moment of coefficients of Dedekind zeta function[J]. Front. Math. China, 2020, 15(1): 57-67.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0816-2
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I1/57

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