关于Hurwitz的一个类数公式

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2021-05-25 DOI:10.4171/JEMS/1097

W. Duke, Ö. Imamoḡlu, Á. Tóth

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引用次数: 2

摘要

在一篇鲜为人知的论文中，赫维茨给出了正定二元二次型类数的无穷级数表示。本文给出了不定情况下的类似公式。我们还给出了Hurwitz公式的一个简单证明，并给出了一些推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a class number formula of Hurwitz

In a little-known paper Hurwitz gave an inﬁnite series representation of the class number for positive deﬁnite binary quadratic forms. In this paper we give a similar formula in the indeﬁnite case. We also give a simple proof of Hurwitz’s formula and indicate some extensions.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464