A theta operator on Picard modular forms modulo an inert prime
Number Theory
2016-07-18 v2 Algebraic Geometry
Abstract
We study the reduction of Picard modular surfaces modulo an inert prime, mod p and p-adic modular forms. We construct a theta operator on such modular forms and study its poles and its effect on Fourier-Jacobi expansions.
Keywords
Cite
@article{arxiv.1412.5494,
title = {A theta operator on Picard modular forms modulo an inert prime},
author = {Ehud de Shalit and Eyal Z. Goren},
journal= {arXiv preprint arXiv:1412.5494},
year = {2016}
}