![[Abstract]](http://www.math.ufl.edu/~frank/icons/scroll.gif)
F.G. Garvan;
Higher Order SPT-Functions,
Adv. in Math.,
228 (2010), no. 1, 1--29.
Dedicated to the memory of A.O.L. (Oliver) Atkin
Abstract:
Andrews' spt-function can be written as the difference between
the second symmetrized crank and rank moment functions. Using the
machinery of Bailey pairs a combinatorial interpretation is given for
the difference between higher order symmetrized crank and rank moment
functions. This implies an inequality between crank and rank
moments that was only known previously for sufficiently large n and fixed
order.
This combinatorial interpretation is in terms of a weighted sum
of partitions. A number of congruences for higher order spt-functions
are derived.
The url of this page is http://www.math.ufl.edu/~frank/abstracts/spt.html.
Created by
F.G. Garvan
(fgarvan@ufl.edu) on
Thursday, August 5, 2010.
Last update made Sat Aug 27 21:16:21 EDT 2011.
fgarvan@ufl.edu
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