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arXiv · 2308.13493

A Restriction Norm Problem for Siegel Modular Forms

Gilles Felber
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Abstract

We establish an asymptotic formula with a power-saving error of the $L^2$-norm of Siegel cusp forms of degree 2 in an average sense when restricted to the imaginary axis. The result is consistent with the Mass Equidistribution Conjecture for Siegel modular forms and the Lindel\"of Hypothesis for some twisted Koecher-Maass series. Along the way, we perform a careful analysis of the Kitaoka formula of degree 2.

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Gilles Felber. 2023-08-25. A Restriction Norm Problem for Siegel Modular Forms. https://arxiv.org/abs/2308.13493

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