2011/04/01 by A. Buium, Buium, A., A. Saha +1
Mathematics · #11 F 32 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11 #msc:32
paper · pdf · doi:10.48550/arxiv.1104.0129
arxiv created 2011/04/01 · arxiv updated 2011/04/04
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.