%0 Journal Article
%T On the functional equation of the Siegel series
%A Tamotsu Ikeda
%J Mathematics
%D 2015
%I arXiv
%X 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 $\mathbb{Q}_p$ was first proved by Katsurada. In this paper, we prove the functional equation of the Siegel series over a non-archimedean local field by using the representation theoretic argument by Kudla and Sweet.
%U http://arxiv.org/abs/1506.01178v1