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On a class number formula of Hurwitz

Duke, William and Imamoḡlu, Özlem and Tóth, Árpád (2019) On a class number formula of Hurwitz. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. pp. 1-14. ISSN 1435-9855 (print); 1435-9863 (online) (Submitted)

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Abstract

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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
Depositing User: Árpád Tóth
Date Deposited: 20 Jul 2020 16:06
Last Modified: 20 Jul 2020 16:06
URI: http://real.mtak.hu/id/eprint/111631

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