Toshiyuki Kikuta

most citedSturm type theorem for Siegel modular forms of degree 2

2 citations · 4 across the 5 of their papers we have counts for

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math.NT2012

Note on Igusa's cusp form of weight 35

Toshiyuki Kikuta, Hirotaka Kodama, Shoyu Nagaoka

A congruence relation satisfied by Igusa's cusp form of weight 35 is presented. As a tool to confirm the congruence relation, a Sturm-type theorem for the case of odd-weight Siegel…

math.NT2011

On $p$ -adic quaternionic Eisenstein series

Toshiyuki Kikuta, Shoyu Nagaoka

We show that certain $p$ -adic Eisenstein series for quaternionic modular groups of degree 2 become "real" modular forms of level $p$ in almost all cases. To prove this, we introduc…

math.NT2011

Bounds for Siegel Modular Forms of genus 2 modulo $p$

Dohoon Choi, YoungJu Choie, Toshiyuki Kikuta

Sturm obtained the bounds for the number of the first Fourier coefficients of elliptic modular form $f$ to determine vanishing of $f$ modulo a prime $p$ . In this paper, we study an…

math.NT2011★ 2 cited

Sturm type theorem for Siegel modular forms of degree 2

Toshiyuki Kikuta

We attempt to generalize a congruence property of elliptic modular forms proved by Sturm to that of Haupttypus of Siegel modular forms of degree 2 with level. Namely, we give an ex…

math.NT2011★ 2 cited

On $p$ -adic Siegel modular forms of non-real Nebentypus of degree 2

Toshiyuki Kikuta

We show that all Siegel modular forms of non-real Nebentypus for $Γ_{0}^{(2)} (p)$ are $p$ -adic Siegel modular forms by using a Maass lift.

Note on Igusa's cusp form of weight 35

On p-adic quaternionic Eisenstein series

Bounds for Siegel Modular Forms of genus 2 modulo p

Sturm type theorem for Siegel modular forms of degree 2

On p-adic Siegel modular forms of non-real Nebentypus of degree 2

On $p$ -adic quaternionic Eisenstein series

Bounds for Siegel Modular Forms of genus 2 modulo $p$

On $p$ -adic Siegel modular forms of non-real Nebentypus of degree 2