On certain constructions of p-adic families of Siegel modular forms of even genus

Hisa-Aki Kawamura (1)

1 IF - Institut Fourier

Suppose that p > 5 is a rational prime. Starting from a well-known p-adic analytic family of ordinary elliptic cusp forms of level p due to Hida, we construct a certain p-adic analytic family of holomorphic Siegel cusp forms of arbitrary even genus and of level p associated with Hida's p-adic analytic family via the Duke-Imamoglu lifting provided by Ikeda. Moreover, we also give a similar results for the Siegel Eisenstein series of even genus with trivial Nebentypus.

Mots clés: Siegel modular forms; p-adic analytic families; Congruences

Domaines: Théorie des nombres [math.NT]

Hisa-Aki Kawamura. On certain constructions of p-adic families of Siegel modular forms of even genus. 2010. ⟨hal-00540508⟩