# Journal of the Ramanujan Mathematical Society

Volume 38, Issue 1, March 2023 pp. 57–69.

N-multicolor partitions of numbers

**Authors**:
A. M. Alanazi, A. O. Munagi and D. Nyirenda

**Author institution:**
Department of Mathematics, Faculty of Sciences, University of
Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

**Summary: **
An n-multicolor partition is a colored partition of a positive integer in
which a summand m may bear more than one color simultaneously, given that the
maximal color is bounded above by m. These objects generalize the n-color
partitions. We obtain many enumeration results using generating functions and
bijective proofs. We also prove combinatorial identities, and obtain arithmetic
congruences satisfied by the numbers of certain classes of n-multicolor
partitions.

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