Extensions and variations of Andrews-Merca identities
Combinatorics
2022-11-28 v3
Abstract
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result and consider many more variations of their work. We also highlight some connections with the work of Fu and Tang.
Keywords
Cite
@article{arxiv.2205.03697,
title = {Extensions and variations of Andrews-Merca identities},
author = {Darlison Nyirenda and Beaullah Mugwangwavari},
journal= {arXiv preprint arXiv:2205.03697},
year = {2022}
}