$\ell$-adic properties of smallest parts functions
Number Theory
2013-06-10 v1
Abstract
We prove explicit congruences modulo powers of arbitrary primes for three smallest parts functions: one for partitions, one for overpartitions, and one for partitions without repeated odd parts. The proofs depend on -adic properties of certain modular forms and mock modular forms of weight with respect to the Hecke operators .
Keywords
Cite
@article{arxiv.1011.6079,
title = {$\ell$-adic properties of smallest parts functions},
author = {Scott Ahlgren and Kathrin Bringmann and Jeremy Lovejoy},
journal= {arXiv preprint arXiv:1011.6079},
year = {2013}
}