Local spectral equidistribution for Siegel modular forms and applications

We study the distribution, in the space of Satake parameters, of local components of Siegel cusp forms of genus 2 and growing weight k, subject to a specific weighting which allows us to apply results concerning Bessel models and a variant of Petersson’s formula. We obtain for this family a quantita...

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Veröffentlicht in:	Compositio mathematica 2012-03, Vol.148 (2), p.335-384
Hauptverfasser:	Kowalski, Emmanuel, Saha, Abhishek, Tsimerman, Jacob
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Arithmetic Cusps Density Fourier analysis Mathematical analysis Mathematical models Modular Spectra Weights & measures
Online-Zugang:	Volltext
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