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On the Siegel-Eisenstein measure and its applications

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Abstract

An Eisenstein measure on the symplectic group over rational number field is constructed which interpolatesp-adically the Fourier expansion of Siegel-Eisenstein series. The proof is based on explicit computation of the Fourier expansions by Siegel, Shimura and Feit. As an application of this result ap-adic family of Siegel modular forms is given which interpolates Klingen-Eisenstein series of degree two using Boecherer’s integral representation for the Klingen-Eisenstein series in terms of the Siegel-Eisenstein series.

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  1. Institut Fourier, B.P.74, 38402, St.-Martin d’Hères, France

    A. A. Panchishkin

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Panchishkin, A.A. On the Siegel-Eisenstein measure and its applications. Isr. J. Math. 120, 467–509 (2000). https://doi.org/10.1007/BF02834848

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