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Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 136, Number 1, February 2014
- pp. 165-201
- 10.1353/ajm.2014.0008
- Article
- Additional Information
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We study the analytic behavior of the restriction of a Siegel modular form to $\Bbb{H}\times\Bbb{H}$ in the
case that the Siegel form is a Saito-Kurokawa lift. A formula of Ichino links this behavior to a family
of ${\rm GL}_3 \times {\rm GL}_2$ $L$-functions.