On the Distribution of Integral Ideals and Hecke Gr¨ossencharacters

Citation:

Huixue LAO.On the Distribution of Integral Ideals and Hecke Gr¨ossencharacters[J].Chinese Annals of Mathematics B,2010,31(3):385~392
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Authors:

Huixue LAO;

Foundation:

the National Natural Science Foundation of China (Nos. 10701048, 10971119) and the Shandong Provincial Natural Science Foundation of China (No. ZR2009AQ007).
Abstract: The author uses analytic methods to study the distribution of integral ideals and Hecke Gr¨ossencharacters in algebraic number fields. Nowak’s results on the distribution of integral ideals, and Chandrasekharan and Good’s results on the distribution of Hecke Gr¨ossencharacters are improved.

Keywords:

Dedekind zeta-function, Integral ideal, Gr¨ossencharacters

Classification:

11N37, 11F70
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