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Genus character L ‐functions of quadratic orders and class numbers
Author(s) -
Kaneko Masanobu,
Mizuno Yoshinori
Publication year - 2020
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12313
Subject(s) - character (mathematics) , genus , mathematics , quadratic equation , generality , class (philosophy) , pure mathematics , quadratic field , combinatorics , quadratic function , computer science , zoology , biology , artificial intelligence , geometry , psychology , psychotherapist
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 imaginary quadratic fields expressed in term of the continued fraction expansion.