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- National Astronomical Observatory of JapanJP45 papers
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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…
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…