Integral representations of equally positive integer-indexed harmonic sums at infinity
Number Theory
2017-05-11 v2 Combinatorics
Abstract
We identify a partition-theoretic generalization of Riemann zeta function and the equally positive integer-indexed harmonic sums at infinity, to obtain the generating function and the integral representations of the latter. The special cases coincide with zeta values at positive integer arguments.
Cite
@article{arxiv.1611.04102,
title = {Integral representations of equally positive integer-indexed harmonic sums at infinity},
author = {Lin Jiu},
journal= {arXiv preprint arXiv:1611.04102},
year = {2017}
}
Comments
Research in Number Theory 2017