# Local spectral equidistribution for Siegel modular forms and applications

@article{Kowalski2012LocalSE,
title={Local spectral equidistribution for Siegel modular forms and applications},
author={Emmanuel Kowalski and Abhishek Saha and Jacob Tsimerman},
journal={Compositio Mathematica},
year={2012},
volume={148},
pages={335 - 384}
}
• Published 18 October 2010
• Mathematics
• Compositio Mathematica
Abstract 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 quantitative local equidistribution result, and derive a number of consequences. In particular, we show that the computation of the density of low-lying zeros of the spinor L-functions (for…
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