Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts

Details Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts

2011-08-03

arxiv.org/abs/1108.0723v1

Mathematics

Number Theory

28 pages

Scientific paper

We study the analytic behavior of the restriction of a Siegel modular form to
$\mathbb{H} \times \mathbb{H}$ in the case that the Siegel form is a
Saito-Kurokawa lift. A formula of Ichino links this behavior to a family of
$GL_3 \times GL_2$ $L$-functions.

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