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On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.

- K. Takase, Karl-Otto Stöhr
- Mathematics
- 1993

There are two powerful tools, both based on deformation theory, to study the smooth projective pointed curves with a prescribed Weierstrass gap sequence f^ * f 2 , . . . , t. On the one band, Pinkham… Expand

A generalization of Rosenhain's normal form for hyperelliptic curves with an application

- K. Takase
- Mathematics
- 1 September 1996

A note on automorphic forms.

- K. Takase
- Mathematics
- 1990

Let G be a locally compact unimodular group, K a compact subgroup of G, and Γ a closed unimodular subgroup of G. Let ρ be a finite dimensional unitary representation of Γ. The theory of automorphic… Expand

Regular characters of $GL_n(O)$ and Weil representations over finite fields

- K. Takase
- Mathematics
- 15 October 2015

In this paper, we will point out a gap in the proof of a theorem of G.Hill (J. Algebra, 174 (1995), 610-635) and will give new arguments to give a remedy in the non-dyadic case modulo a conjecture on… Expand

On Siegel modular forms of half-integral weights and Jacobi forms

- K. Takase
- Mathematics
- 1999

We will establish a bijective correspondence between the space of the cuspidal Jacobi forms and the space of the half-integral weight Siegel cusp forms which is compatible with the action of the… Expand

On Two-fold Covering Group of Sp(n,R) and Automorphic Factor of Weight 1/2

- K. Takase
- Mathematics
- 1 December 1996

On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms

- K. Takase
- Mathematics
- 1 June 1986

In this paper, we consider 1) the explicit formula of the trace of the Hecke operators acting on the space of the Hilbert cusp forms, and 2) the special values of the second L-functions attached to… Expand

On certain Dirichlet series associated with automorphic forms on SL(2,C)

- K. Takase
- Mathematics
- 1 September 1986

In this note, we will discuss the analogy of some results of Asai [2] in the case of the automorphic forms on SL(2,C). Being combined with the base change lifting to the imaginary quadratic field, we… Expand

On unitary representations of Jacobi groups.

- K. Takase
- Mathematics
- 1992

In Chapter 3 of [Ta], we considered a relation between cuspidal Jacobi forms and a holomorphic discrete series on the Jacobi group G. All arguments are based on Proposition 9.1 which describes the… Expand

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