Article ID Journal Published Year Pages File Type
4593136 Journal of Number Theory 2017 19 Pages PDF
Abstract

It is well-known that the Fourier coefficients of Siegel–Eisenstein series can be expressed in terms of the Siegel series. The functional equation of the Siegel series of a quadratic form over QpQp was first proved by Katsurada. In this paper, we prove the functional equation of the Siegel series over a non-archimedean local field of characteristic 0 by using the representation theoretic argument by Kudla and Sweet.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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