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Asymptotic behaviors of higher Mahler Measure

New Geometric Techniques in Number Theory July 01, 2013 - July 12, 2013

July 01, 2013 (02:45 PM PDT - 03:15 PM PDT)
Speaker(s): Arunabha Biswas (Texas Tech University)
Location: MSRI: Simons Auditorium
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Abstract We study behaviors of higher Mahler measure which is a generalization of classical Mahler measure. Apart from giving a broad overview of classical Mahler measure and higher Mahler measure, in this talk we shall show several new asymptotic properties of zeta Mahler measure (of a specific class of x-a) involving partitions of integers, the Rieman zeta function, the Dirichlet η-function and π.
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