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QUANTUM DEFORMATIONS OF CATALAN’S CONSTANT, MAHLER’S MEASURE AND THE HÖLDER–SHINTANI DOUBLE SINE FUNCTION

Published online by Cambridge University Press:  25 January 2007

Nobushige Kurokawa
Nobushige Kurokawa
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oo-okayama, Meguro-ku, Tokyo 152-8551, Japan (kurokawa@math.titech.ac.jp)
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Abstract

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We study quantum deformations of Catalan’s constant, Mahler’s measure and the double sine function. We establish quantum deformations of basic relations between these three objects.

Keywords

Primary 11M36quantum deformationMahler measureCatalan constant
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 3 , October 2006 , pp. 667 - 681
Copyright
Copyright © Edinburgh Mathematical Society 2006