Combinatorial interpretations of two identities of Guo and Yang

Abstract

The restricted partitions in which the largest part is less than or equal to $N$ and the number of parts is less than or equal to $k$ were investigated by Andrews. These partitions were extended recently by the author to partitions into parts of two kinds. In this paper, we use a new class of restricted partitions into parts of two kinds to provide new combinatorial interpretations for two identities of Guo and Yang.

References

G.E. Andrews, The Theory of Partitions, Addison-Wesley Publishing Co., 1976.

V.J.W. Guo, D.-M. Yang, A $q$-analogue of some binomial coefficient identities of Y. Sun, Electron. J. Combin., 18 (2011), \#P78.

M. Merca, Combinatorial interpretations of $q$-Vandermonde's identities, preprint.
Published
2021-03-19
Section
Articles