Hecke operators on differential modular forms mod p
Number Theory
2011-04-04 v1
Abstract
A description is given of all primitive differential series mod p of order 1 which are eigenvectors of all the Hecke operators and which are differential Fourier expansions of differential modular forms of arbitrary order and given weight; this set of differential series is shown to be in a natural one-to-one correspondence with the set of series mod p (of order 0) which are eigenvectors of all the Hecke operators and which are Fourier expansions of (classical) modular forms of appropriate weight.
Cite
@article{arxiv.1104.0129,
title = {Hecke operators on differential modular forms mod p},
author = {A. Buium and A. Saha},
journal= {arXiv preprint arXiv:1104.0129},
year = {2011}
}