Open Access
October 2009 Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function
Nobushige Kurokawa
Kodai Math. J. 32(3): 391-403 (October 2009). DOI: 10.2996/kmj/1257948885

Abstract

We calculate cuspidal values of the modular transform of the principal Eisenstein series of weight 1. We obtain this by looking at derivatives of the double sine function. Our result is considered to be an explicit calculation of values of a Stirling modular function.

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Nobushige Kurokawa. "Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function." Kodai Math. J. 32 (3) 391 - 403, October 2009. https://doi.org/10.2996/kmj/1257948885

Information

Published: October 2009
First available in Project Euclid: 11 November 2009

zbMATH: 1251.11062
MathSciNet: MR2582007
Digital Object Identifier: 10.2996/kmj/1257948885

Rights: Copyright © 2009 Tokyo Institute of Technology, Department of Mathematics

Vol.32 • No. 3 • October 2009
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