Partition zeta functions
Number Theory
2016-05-19 v4 Combinatorics
Abstract
We exploit transformations relating generalized -series, infinite products, sums over integer partitions, and continued fractions, to find partition-theoretic formulas to compute the values of constants such as , and to connect sums over partitions to the Riemann zeta function, multiple zeta values, and other number-theoretic objects.
Cite
@article{arxiv.1601.00872,
title = {Partition zeta functions},
author = {Robert Schneider},
journal= {arXiv preprint arXiv:1601.00872},
year = {2016}
}
Comments
19 pages, to appear in Research in Number Theory (update corrects minor typos)