New partition identities for odd w odd
Combinatorics
2023-01-31 v1 Number Theory
Abstract
In this note we conjecture Rogers-Ramanujan type colored partition identities for an array 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 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 for . The conjecture is based on numerical evidence.
Cite
@article{arxiv.2301.12484,
title = {New partition identities for odd w odd},
author = {Mirko Primc},
journal= {arXiv preprint arXiv:2301.12484},
year = {2023}
}
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7 pages