Local spectral equidistribution for degree 2 Siegel modular forms in level and weight aspects
Number Theory
2015-12-31 v2
Abstract
We prove an equidistribution statement for the Satake parameters of the local representations attached to Siegel cusp forms of degree of increasing level and weight, counted with a certain arithmetic weight. We then apply this to compute the symmetry type of a similarly weighted distribution of the low-lying zeros of -functions attached to these cusp forms.
Keywords
Cite
@article{arxiv.1312.5584,
title = {Local spectral equidistribution for degree 2 Siegel modular forms in level and weight aspects},
author = {Martin J. Dickson},
journal= {arXiv preprint arXiv:1312.5584},
year = {2015}
}