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arXiv · 1601.00872

Partition zeta functions

Robert Schneider
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Abstract

We exploit transformations relating generalized $q$-series, infinite products, sums over integer partitions, and continued fractions, to find partition-theoretic formulas to compute the values of constants such as $\pi$, and to connect sums over partitions to the Riemann zeta function, multiple zeta values, and other number-theoretic objects.

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Robert Schneider. 2016-01-05. Partition zeta functions. https://doi.org/10.1007/s40993-016-0039-5

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