5 citations · 33 across the 19 of their papers we have counts for
22 papers
Repulsion of zeros close to for L-functions
Nicolás Coloma, Maria Espericueta Sandoval, Erika Lopez +4
In this paper we present results of several experiments in which we model the repulsion of low-lying zeros of L-functions using random matrix theory. Previous work has typically fo…
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…
Vanishing of Quartic and Sextic Twists of -functions
Jennifer Berg, Nathan C. Ryan, Matthew P. Young
Let be an elliptic curve over . We conjecture asymptotic estimates for the number of vanishings of as varies over all primitive Dirichlet characters…
Congruences satisfied by eta-quotients
Nathan C. Ryan, Zachary Scherr, Nicolás Sirolli +1
The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono…
Theta series and number fields: theorems and experiments
Adrian Barquero-Sanchez, Guillermo Mantilla-Soler, Nathan C. Ryan
We construct certain -series associated to number fields and prove that for number fields of degree less than equal to 4, these -series are number field invariants. We also i…