Abstract
We construct a $q$-analogue of the Mahler measure using a $q$-analogue of the logarithm. We present some basic examples, where we obtain $q$-analogues of special values of zeta functions. We calculate also the classical limit and the crystal limit.
Citation
Nobushige Kurokawa. "A $q$-Mahler measure." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 70 - 73, May 2004. https://doi.org/10.3792/pjaa.80.70
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