5 citations · 6 across the 3 of their papers we have counts for
5 papers
A database of paramodular forms from quinary orthogonal modular forms
Eran Assaf, Watson Ladd, Gustavo Rama +2
We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.
On the -Selmer group of Jacobians of hyperelliptic curves
Daniel Barrera Salazar, Ariel Pacetti, Gonzalo Tornaría
Let be a hyperelliptic curve defined over a number field with integral of odd degree. The purpose of the present article is to prove lower and…
Quinary forms and paramodular forms
Neil Dummigan, Ariel Pacetti, Gustavo Rama +1
We work out the exact relationship between algebraic modular forms for a two-by-two general unitary group over a definite quaternion algebra, and those arising from genera of posit…
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…