[Abstract] 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.


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