Kodai Mathematical Journal

Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function

Nobushige Kurokawa

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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.

Article information

Source
Kodai Math. J., Volume 32, Number 3 (2009), 391-403.

Dates
First available in Project Euclid: 11 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1257948885

Digital Object Identifier
doi:10.2996/kmj/1257948885

Mathematical Reviews number (MathSciNet)
MR2582007

Zentralblatt MATH identifier
1251.11062

Citation

Kurokawa, Nobushige. Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function. Kodai Math. J. 32 (2009), no. 3, 391--403. doi:10.2996/kmj/1257948885. https://projecteuclid.org/euclid.kmj/1257948885


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