# Cubic partition pairs weighted by the parity of the crank

## Main Article Content

## 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

## References

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