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

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

2010-11-30

arxiv.org/abs/1011.6476v1

Mathematics

Number Theory

Scientific paper

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 which has been established by Ikeda. Moreover, we also give a similar results for the Siegel Eisenstein series of even genus with trivial Nebentypus.

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