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Open Access

Partition zeta functions

Research in Number Theory20162:9

Received: 14 August 2015

Accepted: 11 February 2016

Published: 15 March 2016


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 π, and to connect sums over partitions to the Riemann zeta function, multiple zeta values, and other number-theoretic objects.


Partitions q-seriesZeta functions