On generalized Maass relations for the Miyawaki-Ikeda lift
Number Theory
2013-05-07 v1
Abstract
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 generalization of the Maass relation for Siegel-Eisenstein series of arbitrary degrees. Furthermore, we show that the Duke-Imamoglu-Ibukiyama-Ikeda lifts satisfy this generalized Maass relation with some modifications. As an application of the generalized Maass relation in the present article we give a new proof of the Miyawaki-Ikeda lifts of two elliptic modular forms. Namely, we compute the standard L-function of the Miyawaki-Ikeda lifts of two elliptic modular forms by using the generalized Maass relation.
Keywords
Cite
@article{arxiv.1305.1075,
title = {On generalized Maass relations for the Miyawaki-Ikeda lift},
author = {Shuichi Hayashida},
journal= {arXiv preprint arXiv:1305.1075},
year = {2013}
}