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- W4381567989 abstract "Let $p$ be an odd prime. In this paper we write down the functional equations of Siegel Eisenstein series of degree $n$, level $p$ with quadratic or trivial characters. First we study the $U(p)$ action in the space of Siegel Eisenstein series to get $U(p)$-eigen functions. Secondly we show that the functional equations for $U(p)$-eigen Eisenstein series are quite simple and easy to write down. Consequently the matrix that represents functional equations of Siegel Eisenstein series are given by the products of simple matrices." @default.
- W4381567989 created "2023-06-22" @default.
- W4381567989 creator A5046481249 @default.
- W4381567989 date "2023-06-19" @default.
- W4381567989 modified "2023-10-18" @default.
- W4381567989 title "On the functional equations of Siegel Eisenstein series of an odd prime level $p$" @default.
- W4381567989 doi "https://doi.org/10.48550/arxiv.2306.10696" @default.
- W4381567989 hasPublicationYear "2023" @default.
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