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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 L2L^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.

Keywords

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}
}

Comments

38 pages

R2 v1 2026-06-28T12:04:30.409Z