3 papers
math.NT2026
The distribution of -free ideals in ray class groups
Adrian Barquero-Sanchez, Jack Heimrath, Bernd Sing +3
In this paper, we extend the classical problem of studying the distribution of -free integers in arithmetic progressions to the setting of arbitrary number fields. Using the lan…
math.NT2026
On the efficient computation of Fourier coefficients of eta-quotients
Adrian Barquero-Sanchez, Juan Pablo De Rasis, Nicolás Sirolli +2
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…
math.NT2024
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…