8 papers · 1 filter
A Fourier-Jacobi Dirichlet series attached to modular forms of
Thanasis Bouganis, Rafail Psyroukis
We consider a Dirichlet series attached to two automorphic forms and of an orthogonal group of real signature , involving their Fourier--Jacobi coefficien…
On an analogue of the doubling method in coding theory
Thanasis Bouganis, Jolanta Marzec-Ballesteros
It is well known that there is a deep relationship between codes and lattices. Concepts from coding theory are related to concepts of lattice theory as, for example, weight enumera…
On a Rankin-Selberg integral of three Hermitian cusp forms
Thanasis Bouganis, Rafail Psyroukis
Let . We study the Petersson inner product of a Hermitian Eisenstein series of Siegel type on the unitary group , diagonally-restricted on $U_2(K)\time…
Algebraicity of special -values attached to Siegel-Jacobi modular forms
Thanasis Bouganis, Jolanta Marzec
In this work we obtain algebraicity results on special -values attached to Siegel-Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacob…
On the Rankin-Selberg method for vector valued Siegel modular forms
Thanasis Bouganis, Salvatore Mercuri
In this work we use the Rankin-Selberg method to obtain results on the analytic properties of the standard -function attached to vector valued Siegel modular forms. In particula…
On the standard L-function attached to Siegel-Jacobi modular forms of higher index
Thanasis Bouganis, Jolanta Marzec
In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Muras…