Partition zeta functions
  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. 
Robert Schneider
math.NT math.CO