A Restriction Norm Problem for Siegel Modular Forms
Number Theory
2024-05-24 v1
Abstract
We establish an asymptotic formula with a power-saving error of the -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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Cite
@article{arxiv.2308.13493,
title = {A Restriction Norm Problem for Siegel Modular Forms},
author = {Gilles Felber},
journal= {arXiv preprint arXiv:2308.13493},
year = {2024}
}
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38 pages