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Fourier coefficients of Siegel cusp forms and genera of quadratic forms

Volume 211 / 2023

Winfried Kohnen, Rainer Schulze-Pillot Acta Arithmetica 211 (2023), 363-368 MSC: Primary 11F46; Secondary 11F30. DOI: 10.4064/aa221214-27-9 Published online: 17 November 2023

Abstract

We generalize a growth estimate for certain Fourier coefficients of Siegel cusp forms of genus 2 given in [Res. Math. Sci. 9 (2022), art. 50] to the case of arbitrary genus $g\geq 2$.

Authors

  • Winfried KohnenMathematisches Institut
    Ruprecht-Karls-Universität Heidelberg
    69120 Heidelberg, Germany
    e-mail
  • Rainer Schulze-PillotFachrichtung Mathematik
    Universität des Saarlandes
    66041 Saarbrücken, Germany
    e-mail

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