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KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  07 February 2018

Hayato Kohama  and
Yoshinori Mizuno
Hayato Kohama
Affiliation:
Graduate School of Technology, Industrial and Social Sciences, Tokushima University, 2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan email 2h756he9c78gj642s1jnv3@gmail.com
Yoshinori Mizuno
Affiliation:
Graduate School of Technology, Industrial and Social Sciences, Tokushima University, 2-1, Minami-josanjima-cho, Tokushima, 770-8506, Japan email mizuno.yoshinori@tokushima-u.ac.jp
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Abstract

We study a kernel function of the twisted symmetric square $L$-function of elliptic modular forms. As an application, several exact special values of the $L$-function are computed.

MSC classification

Primary: 11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
Secondary: 11F50: Jacobi forms
Type
Research Article
Information
Mathematika , Volume 64 , Issue 1 , 2018 , pp. 184 - 210
Copyright
Copyright © University College London 2018 

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