Genus character L-functions of quadratic orders and class numbers

Masanobu Kaneko; Yoshinori Mizuno

doi:10.1112/jlms.12313

Genus character L-functions of quadratic orders and class numbers

Masanobu Kaneko, Yoshinori Mizuno

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

An explicit form of genus character (Formula presented.) -functions of quadratic orders is presented in full generality. As an application, we generalize a formula due to Hirzebruch and Zagier on the class number of imaginary quadratic fields expressed in term of the continued fraction expansion.

Original language	English
Pages (from-to)	69-98
Number of pages	30
Journal	Journal of the London Mathematical Society
Volume	102
Issue number	1
DOIs	https://doi.org/10.1112/jlms.12313
Publication status	Published - Aug 1 2020

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1112/jlms.12313

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abstract = "An explicit form of genus character (Formula presented.) -functions of quadratic orders is presented in full generality. As an application, we generalize a formula due to Hirzebruch and Zagier on the class number of imaginary quadratic fields expressed in term of the continued fraction expansion.",

author = "Masanobu Kaneko and Yoshinori Mizuno",

note = "Funding Information: The first author was supported in part by JSPS KAKENHI Grant Numbers JP15K13428 and JP16H06336, and the second author by JP25800021 and JP17K05175. Publisher Copyright: {\textcopyright} 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

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Genus character L-functions of quadratic orders and class numbers

Abstract

All Science Journal Classification (ASJC) codes

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