On the Number of Integral Ideals in Two Different Quadratic Number Fields

On the Number of Integral Ideals in Two Different Quadratic Number Fields

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摘要 Let K be an algebraic number field of finite degree over the rational field ~, and aK （n） the number of integral ideals in K with norm n. When K is a Galois extension over Q, many authors contribute to the integral power sums of aK（n）,This paper is interested in the distribution of integral ideals concerning different number fields. The author is able to establish asymptotic formulae for the convolution sumwhere K1 and K2 are two different quadratic fields.

作者 Zhishan YANG

机构地区 School of Mathematics and Statistics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期595-606,共12页 数学年刊（B辑英文版）

基金 supported by the Fundamental Research Funds for the Central Universities(No.14QNJJ004)

关键词 Asymptotic formula Integral ideal Number field 17B40 17B50 理想二次数域积分有理数域代数数域渐近公式伽罗瓦二次域

分类号 O156 [理学—基础数学]

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Chinese Annals of Mathematics,Series B

2016年第4期

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On the Number of Integral Ideals in Two Different Quadratic Number Fields

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