5 citations · 21 across the 12 of their papers we have counts for
12 papers
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…
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…
Effective construction of Hilbert modular forms of half-integral weight
Nicolás Sirolli, Gonzalo Tornaría
Given a Hilbert cuspidal newform we construct a family of modular forms of half-integral weight whose Fourier coefficients give the central values of the twisted -series of…
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…
A Gross-Kohnen-Zagier theorem for non-split Cartan curves
Daniel Kohen, Nicolás Sirolli
Let be a prime number and let be an elliptic curve of conductor and odd analytic rank. We prove that the positions of its special points arising from non-s…
An explicit Waldspurger formula for Hilbert modular forms II
Nicolás Sirolli, Gonzalo Tornaría
We describe a construction of preimages for the Shimura map on Hilbert modular forms using generalized theta series, and give an explicit Waldspurger type formula relating their Fo…
An explicit Waldspurger formula for Hilbert modular forms
Nicolás Sirolli, Gonzalo Tornaría
We describe a construction of preimages for the Shimura map on Hilbert modular forms, and give an explicit Waldspurger type formula relating their Fourier coefficients to central v…
Computing Jacobi Forms
Nathan C. Ryan, Nicolás Sirolli, Nils-Peter Skoruppa +1
We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is base…
Preimages for the Shimura map on Hilbert modular forms
Nicolás Sirolli
In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies in the ideas present…
Computing ideal classes representatives in quaternion algebras
Ariel Pacetti, Nicolás Sirolli
Let be a totally real number field and let be a totally definite quaternion algebra over . In this article, given a set of representatives for ideal classes for a maxima…