11 citations · 33 across the 9 of their papers we have counts for
10 papers
On -Selmer groups and quadratic twists of elliptic curves
Daniel Barrera Salazar, Ariel Pacetti, Gonzalo Tornaría
Let be a number field and be an elliptic curve with no -torsion points. In the present article we give lower and upper bounds for the -Selmer rank of in terms o…
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…
Explicit computations of Siegel modular forms of degree two
Martin Raum, Nathan C. Ryan, Nils-Peter Skoruppa +1
Unlike classical modular forms, there is currently no general way to implement the computation of Siegel modular forms of arbitrary weight, level and character, even in degree two.…
Formulas for central critical values of twisted L-functions attached to paramodular forms
Nathan C. Ryan, Gonzalo Tornaría
In the 1980s Böcherer formulated a conjecture relating the central values of the imaginary quadratic twists of the spin L-function attached to a Siegel modular form to the Four…
A Böcherer-Type Conjecture for Paramodular Forms
Nathan C. Ryan, Gonzalo Tornaría
In the 1980s Böcherer formulated a conjecture relating the central value of the quadratic twists of the spinor L-function attached to a Siegel modular form F to the coefficients of…
Shimura correspondence for level and the central values of -series II
Ariel Pacetti, Gonzalo Tornaría
Given a Hecke eigenform of weight and square-free level , by the work of Kohnen, there is a unique weight modular form of level mapping to under the Shimu…
Computation of central value of quadratic twists of modular L-functions
Zhengyu Mao, Fernando Rodriguez-Villegas, Gonzalo Tornaría
Let f be a newform of weight two, prime level p. If D is a fundamental discriminant, define the twisted L-function L(f,D,s) to be the L-function associated to the twist of f by the…
Shimura correspondence for level p^2 and the central values of L-series
Ariel Pacetti, Gonzalo Tornaría
Given a weight 2 and level p^2 modular form f, we construct two weight 3/2 modular forms (possibly zero) of level 4p^2 and non trivial character mapping to f via the Shimura corres…