Multiple q-Mahler measures and zeta functions

Gon, Yasuro; Kurokawa, Nobushige; Oyanagi, Hideo

doi:10.1016/j.jnt.2006.09.004

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Multiple q-Mahler measures and zeta functions

Abstract: We introduce multiple q-Mahler measures and we calculate some specific examples, where multiple q-analogues of zeta functions appear. We study also limits as the multiple q goes to 1.

Cited by 5 publications

References 13 publications

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Some q-extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials of order n, and the multiple Hurwitz zeta function

Carlitz’s q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions

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