Combinatorial applications of Möbius inversion

Marie Jameson, Robert P. Schneider
2014 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-2014-12020-x fatcat:3xkkaxa2lzhjxlh3ff6chasc4y