Toshiyuki Kikuta

collaborators

3 papers

math.NT2026

On mod $p$ singular modular forms II

Siegfried Boecherer, Toshiyuki Kikuta

We generalize the notion of mod $p^{m}$ singular Siegel modular forms of $p$ -rank $r$ to the vector-valued case and we show that also in this case a congruence mod $(p - 1) p^{m - 1}$ bet…

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

On $p$ -adic Siegel--Eisenstein series II: How to avoid the regularity condition for $p$

Siegfried Boecherer, Toshiyuki Kikuta

In a previous paper, the authors showed that two kinds of $p$ -adic Siegel--Eisenstein series of degree $n$ coincide with classical modular forms of weight $k$ for $I^_{0} (p)$ , under…

On mod p singular modular forms II

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

On p-adic Siegel--Eisenstein series II: How to avoid the regularity condition for p

On mod $p$ singular modular forms II

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

On $p$ -adic Siegel--Eisenstein series II: How to avoid the regularity condition for $p$