Korean J. Math. Vol. 23 No. 4 (2015) pp.637-642
DOI: https://doi.org/10.11568/kjm.2015.23.4.637

Cubic partition pairs weighted by the parity of the crank

Main Article Content

Byungchan Kim

Abstract

We study congruence properties of the number of cubic partition pairs weighted by the parity of the crank. If we define such number to be $c(n)$, then
\[
c(5n+4) \equiv 0 \pmod{5} \;\; \text{ and } \;\; c(7n+2) \equiv 0 \pmod{7},
\]
for all nonnegative integers $n$.



Article Details

Supporting Agencies

This study was supported by the Research Program funded by the Seoul National University of Science and Technology.

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