On the Distribution of the spt-Crank

Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any n the sequence {NS (m, n)}m is unimodal, where NS (m, n) is the number of S-partitions of size n with crank m weight by the spt-crank. We relate this conjecture to a distributional result concerning...

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Bibliographic Details
Main Authors: Robert C. Rhoades, Freeman J. Dyson, George E. Andrews
Format: Article
Language:English
Published: MDPI AG 2013-06-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/1/3/76