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

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.

preprint2011arXivOpen access
Sheng-Chi LiuMatthew P. Young
math.NT
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Sheng-Chi LiuMatthew P. Young

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