[Abstract] F.G. Garvan and C. Jennings-Shaffer; Hecke-type congruences for Andrews' spt-function modulo 16 and 32 , Int. J. Number Theory, accepted for publication.


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(l2) 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).

The url of this page is http://qseries.org/fgarvan/abstracts/spt-mod-16-32.html.
Created by F.G. Garvan (fgarvan@ufl.edu) on Saturday, September 14, 2013.
Last update made Sat Sep 14 16:21:35 EDT 2013.

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