5 papers
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…
Non-abelian -adic -functions and Eisenstein series of unitary groups; the CM method
Thanasis Bouganis
In this work we prove the so-called "torsion congruences" between abelian -adic -functions that are related to automorphic representations of definite unitary groups. These c…
Special values of L-functions and false Tate curve extensions II
Thanasis Bouganis
In this paper we show how one can combine the p-adic Rankin-Selberg product construction of Hida with freeness results of Hecke modules of Wiles to establish interesting congruence…