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Higher moment of coefficients of Dedekind zeta function

Authors:	Guangwei HU Ke WANG

Affiliation:	School of Mathematics, Shandong University, Jinan 250100, China

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
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