Genus character   L  ‐functions of quadratic orders and class numbers | Zendy

Kaneko Masanobu | Zendy; Mizuno Yoshinori | Zendy

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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 , class (philosophy) , generality , pure mathematics , quadratic field , class number , quadratic function , combinatorics , algebra over a field , 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.

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