8 citations · 11 across the 7 of their papers we have counts for
7 papers
Isomorphism between Jacobi forms of index and elliptic modular forms of level
Shuichi Hayashida
This paper has three main objectives: (i) To establish an isomorphism between Jacobi forms of index (lattice index) and elliptic modular forms of level . (ii) To prov…
A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lift of half-integral weight
Shuichi Hayashida
In this article we obtain an explicit formula for certain Rankin-Selberg type Dirichlet series associated to certain Siegel cusp forms of half-integral weight. Here these Siegel cu…
Rankin-Selberg method for Jacobi forms of integral weight and of half-integral weight on symplectic groups
Shuichi Hayashida
In this article we show analytic properties of certain Rankin-Selberg type Dirichlet series for holomorphic Jacobi cusp forms of integral weight and of half-integral weight. The nu…
Lifting from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree
Shuichi Hayashida
The aim of this paper is to show lifts from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constru…
On the spinor L-function of Miyawaki-Ikeda lifts
Shuichi Hayashida
We consider lifts from two elliptic modular forms to Siegel modular forms of odd degrees which are special cases of Miyawaki-Ikeda lifts. Assuming non-vanishing of these Miyawaki-I…
On generalized Maass relations for the Miyawaki-Ikeda lift
Shuichi Hayashida
Some generalizations of the Maass relation for Siegel modular forms of higher degrees have been obtained by several authors. In the present article we first give a new generalizati…
Maass relations for generalized Cohen-Eisenstein series of degree two and of degree three
Shuichi Hayashida
The aim of this paper is to generalize the Maass relation for generalized Cohen-Eisenstein series of degree two and of degree three. Here the generalized Cohen-Eisenstein series ar…