Affiliation: University of Maine
Email: bradley@math.umaine.edu
Title Of Talk: On q-Analogs of Multiple Zeta Values and other Multiple Harmonic Series
URLS:
arXiv.org/abs/math.QA/0402093
arXiv.org/abs/math.CO/0402092
germain.umemat.maine.edu/faculty/bradley/talks/talks.html
Abstract:
An example of a multiple harmonic sum is
$Z_n(s,t,u) := \sum_{n\ge k\ge j\ge m\ge 1} k^{-s} j^{-t} m^{-u}$.
Here, the sum is over all positive integers $k, j, m$ satisfying
the indicated inequalities, which in some cases may be strict instead
of weak as shown. The bound $n$ is either a positive integer or
infinite. The variables $s, t, u$ are unrestricted if $n$ is finite,
but are usually assumed to be positive integers, with $s>1$ if $n$ is
infinite to ensure convergence. In general, we may have an arbitrary
finite number of variables instead of three. The $q$-analog of a
positive integer $k$ is $[k]_q := \sum_{j=0}^{k-1} q^j = (1-q^k)/(1-q)$,
$0
Last update made Thu Nov 11 14:46:06 EST 2004.
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