3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Efficient Computation and Congruences for Colored Partition Functions
Jean Carlos Villegas-Morales
For a positive integer , let denote the number of -colored partitions of . The Rademacher-type expansion of Iskander, Jain, and Talvola is valid for every real $α…
On the efficient computation of Fourier coefficients of eta-quotients
Adrian Barquero-Sanchez, Juan Pablo De Rasis, Nicolás Sirolli +1
The Fourier coefficients of a negative weight eta-quotient, in many particular cases, and after Sussman in general, are known to be expressible by Hardy-Ramanujan-Rademacher type s…
Explicit families of congruences for the overpartition function
Nathan C. Ryan, Nicolás Sirolli, Jean Carlos Villegas-Morales +1
In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by Treneer. We give infinite…
Efficient computation of the overpartition function and applications
Adrian Barquero-Sanchez, Gabriel Collado-Valverde, Nathan C. Ryan +3
In this paper we develop a method to calculate the overpartition function efficiently using a Hardy-Rademacher-Ramanujan type formula, and we use this method to find many new Raman…