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RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  21 May 2018

YOSHINORI MIZUNO
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

The author gives the analytic properties of the Rankin–Selberg convolutions of two half-integral weight Maass forms in the plus space. Applications to the Koecher–Maass series associated with nonholomorphic Siegel–Eisenstein series are given.

MSC classification

Primary: 11F37: Forms of half-integer weight; nonholomorphic modular forms 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
Type
Article
Information
Nagoya Mathematical Journal , Volume 237 , March 2020 , pp. 127 - 165
Copyright
© 2018 Foundation Nagoya Mathematical Journal  

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