David Bradley

Affiliation: University of Maine

Email: David_Bradley@umit.maine.edu

Title Of Talk: On $q$-analogs of multiple zeta values

Abstract: The double zeta function $\zeta(s,t)$ is a function of two arguments defined by a double Dirichlet series, and was first studied by Euler in response to a letter from Goldbach in 1742. By calculating many examples, Euler inferred a closed form evaluation of the double zeta function in terms of values of the Riemann zeta function in the case when the two arguments are positive integers with opposite parity. In the early 1990s, a multi-variable extension was was investigated by Michael Hoffman and Don Zagier, and later by Jonathan Borwein, David Broadhurst and Bradley. Subsequently and independently, Bradley, Jun-ichi Okuda, Yoshihiro Takeyama and Jianqiang Zhao introduced a $q$-analog of the multiple function that satisfies many of the same basic formulas as the limiting case. This talk will survey some of these results.

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