Combinatorial Applications of M\"obius Inversion
Number Theory
2014-05-29 v3 Combinatorics
Abstract
In important work on the parity of the partition function, Ono related values of the partition function to coefficients of a certain mock theta function modulo 2. In this paper, we use M\"obius inversion to give analogous results which relate several combinatorial functions via identities rather than congruences.
Cite
@article{arxiv.1302.5744,
title = {Combinatorial Applications of M\"obius Inversion},
author = {Marie Jameson and Robert P. Schneider},
journal= {arXiv preprint arXiv:1302.5744},
year = {2014}
}
Comments
Accepted for publication in Proceedings of the AMS