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Regulator of modular units and Mahler measures

Published online by Cambridge University Press:  02 January 2014

WADIM ZUDILIN
WADIM ZUDILIN*
Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia. e-mail: wzudilin@gmail.com
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Abstract

We present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the L-series of a modular form of weight 2 at s=2. Applications of the formula to computing Mahler measures are discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 2 , March 2014 , pp. 313 - 326
Copyright
Copyright © Cambridge Philosophical Society 2014 

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