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Genus character L-functions of quadratic orders and class numbers

Kaneko, Masanobu 金子, 昌信 カネコ, マサノブ Mizuno, Yoshinori 水野, 義紀 ミズノ, ヨシノリ 九州大学

2020.04.20

概要

An explicit form of genus character L-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 imag

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Masanobu Kaneko

Faculty of Mathematics

Kyushu University,

Motooka 744, Nishi-ku, Fukuoka, 819-0395, Japan

e-mail: mkaneko@math.kyushu-u.ac.jp

Yoshinori Mizuno

Graduate School of Technology, Industrial and Social Sciences

Tokushima University

2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan

e-mail: mizuno.yoshinori@tokushima-u.ac.jp

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