On the rank and the crank modulo $4$
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- by Richard Lewis PDF
- Proc. Amer. Math. Soc. 112 (1991), 925-933 Request permission
Abstract:
Let $N(r,m,n)$ (respectively, $M(r,m,n)$) denote the number of partitions of $n$ whose ranks (respectively, cranks) are congruent to $r$ modulo $n$. It is shown that $N(0,4,2n + 1) = M(1,4,2n + 1)$ and $N(2,4,2n) = M(1,4,2n)$.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 925-933
- MSC: Primary 11P83
- DOI: https://doi.org/10.1090/S0002-9939-1991-1057957-2
- MathSciNet review: 1057957