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Currently displaying 1 – 5 of 5

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Construction of half integral weight Siegel modular forms of Sp (2, R) from automorphic forms of the compact twist Sp (2).

Tomoyoshi Ibukiyama — 1985

Journal für die reine und angewandte Mathematik

On Automorphic Forms on the Unitary Symplectic Group Sp (n) and SL2 (R).

Tomoyoshi Ibukiyama; Yasutaka Ihara — 1987

Mathematische Annalen

On the field of definition of superspecial polarized abelian varieties and type numbers

Tomoyoshi Ibukiyama; Toshiyuki Katsura — 1994

Compositio Mathematica

Surjectivity of Siegel $Φ$ -operator for square free level and small weight

Siegfried Böcherer; Tomoyoshi Ibukiyama — 2012

Annales de l’institut Fourier

We show the surjectivity of the (global) Siegel $Φ$ -operator for modular forms for certain congruence subgroups of $Sp (2, ℤ)$ and weight $k = 4$ , where the standard techniques (Poincaré series or Klingen-Eisenstein series) are no longer available. Our main tools are theta series and genus versions of basis problems.

Supersingular curves of genus two and class numbers

Tomoyoshi Ibukiyama; Toshiyuki Katsura; Frans Oort — 1986

Compositio Mathematica

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