Keiichi Gunji

collaborators

3 papers

math.NT2025

On Siegel--Eisenstein series of level $p$ and their $p$ -adic properties

Siegfried Boecherer, Keiichi Gunji, Toshiyuki Kikuta

We construct a Siegel--Eisenstein series of level $p$ with a quadratic character mod $p$ which is a $U (p)$ -eigenfunction with eigenvalue $1$ , and calculate its Fourier coefficients…

math.NT2025

Recursion formulas for the Fourier coefficients of Siegel Eisenstein series of an odd prime level

Keiichi Gunji

In this paper we treat the Fourier coefficients of Siegel Eisenstein series of level $p$ with trivial or quadratic character, for an odd prime $p$ . The Euler $p$ -factor of the Four…

math.NT2024

On the functional equations of Siegel Eisenstein series of an odd prime level $p$

Keiichi Gunji

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 st…

On Siegel--Eisenstein series of level p and their p-adic properties

Recursion formulas for the Fourier coefficients of Siegel Eisenstein series of an odd prime level

On the functional equations of Siegel Eisenstein series of an odd prime level p

On Siegel--Eisenstein series of level $p$ and their $p$ -adic properties

On the functional equations of Siegel Eisenstein series of an odd prime level $p$