253 research outputs found
Higher Mahler measures and zeta functions
We consider a generalization of the Mahler measure of a multivariable
polynomial as the integral of in the unit torus, as opposed to
the classical definition with the integral of . A zeta Mahler measure,
involving the integral of , is also considered. Specific examples are
computed, yielding special values of zeta functions, Dirichlet -functions,
and polylogarithms
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