Two-color partitions with evens in one color
Number Theory
2026-05-25 v2
Abstract
We consider sequences counting integer partitions in two colors (red and blue) in which the even parts occur only in blue color. We focus on subsequences defined by constraints on the parity and color of the summands. We establish formulas for our sequences and deduce identities of integer partitions.
Cite
@article{arxiv.2512.23391,
title = {Two-color partitions with evens in one color},
author = {George E. Andrews and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:2512.23391},
year = {2026}
}
Comments
10 pages, LaTeX. Corrected missing minus signs in Theorems 1 and 2, the corresponding proof lines, and the resulting statements of Corollaries 1 and 2. Results otherwise unchanged