Local constancy of dimensions of Hecke eigenspaces of Automorphic forms
Number Theory
2009-03-02 v2
Abstract
We use a method of Buzzard to study p-adic families of different types of modular forms - classical, over imaginary quadratic fields and totally real fields. In the case of totally real fields of even degree, we get local constancy of dimensions of spaces of fixed slope and varying weight. For imaginary quadratic fields we obtain bounds independent of the weight on the dimensions of such spaces.
Keywords
Cite
@article{arxiv.math/0609361,
title = {Local constancy of dimensions of Hecke eigenspaces of Automorphic forms},
author = {Aftab Pande},
journal= {arXiv preprint arXiv:math/0609361},
year = {2009}
}
Comments
Revised version which appeared in Journal of Number Theory