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quantum deformation

Proceedings of the Edinburgh Mathematical Society (1)

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

Proceedings of the Edinburgh Mathematical Society / Volume 49 / Issue 3 / October 2006

Published online by Cambridge University Press:

25 January 2007, pp. 667-681
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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.