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https://doi.org/10.21857/9e31lhzl8m

New partition identities for odd W odd

Mirko Primc orcid.org/0000-0002-2615-9410 ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Sažetak

In this note we conjecture Rogers-Ramanujan type colored partition identities for an array Nwodd with odd number of rows w such that the first and the last row consist of even positive integers. In a strange way this is different from the partition identities for the array Nw with odd number of rows w such that the first and the last row consist of odd positive integers - the partition identities conjectured by S. Capparelli, A. Meurman, A. Primc and the author and related to standard representations of the affine Lie algebra of type Cl(1) for w = 2l + 1. The conjecture is based on numerical evidence.

Ključne riječi

Colored partitions; Rogers-Ramanujan type identities

Hrčak ID:

313623

URI

https://hrcak.srce.hr/313623

Datum izdavanja:

24.1.2024.

Posjeta: 129 *