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Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function
Nobushige Kurokawa
Source: Kodai Math. J. Volume 32, Number 3
(2009), 391-403.
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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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kmj/1257948885
Digital Object Identifier: doi:10.2996/kmj/1257948885
Zentralblatt MATH identifier: 05653823
Mathematical Reviews number (MathSciNet): MR2582007
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2012 © Tokyo Institute of Technology, Department of Mathematics
Kodai Mathematical Journal
