paper

On the spinor L-function of Miyawaki-Ikeda lifts

arXiv:1305.1076 · doi:10.1142/S1793042113500930

Abstract

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-Ikeda lifts, we show that the spinor L-functions of these Miyawaki-Ikeda lifts are products of some kind of symmetric power L-functions determined by original two elliptic modular forms.

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