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NCTS Seminar on Number Theory
 
10:00 - 11:00, March 26, 2020 (Thursday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 4樓B演講室)
Genus Character L-functions of Quadratic Orders and Class Number Formulas
Masanobu Kaneko (Kyushu University)

Abstract:

For any quadratic orders, we explicitly calculate the genus character $L$-functions in full generality. As an application, we generalize a formula due to Hirzebruch-Zagier which expresses the class number of imaginary quadratic fields in terms of continued fraction expansion. This is a joint work with Yoshinori Mizuno.



 

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