Hecke-type congruences for Andrews' spt-function modulo 16 and 32
Number Theory
2013-09-24 v2
Abstract
Inspired by recent congruences by Andersen with varying powers of 2 in the modulus for partition related functions, we extend the modulo 32760 congruences of the first author for the function spt(n). We show that a normalized form of the generating function of spt(n) is an eigenform modulo 32 for the Hecke operators T(l^2) for primes l >= 5 with l congruent to 1, 11, 17, 19 (mod 24), and an eigenform modulo 16 for l congruent to? 13, 23 (mod 24).
Keywords
Cite
@article{arxiv.1306.1521,
title = {Hecke-type congruences for Andrews' spt-function modulo 16 and 32},
author = {Frank Garvan and Chris Jennings-Shaffer},
journal= {arXiv preprint arXiv:1306.1521},
year = {2013}
}