An Identity for the Partition Function Involving Parts of k Different Magnitudes
Number Theory
2018-06-22 v2
Abstract
Using previous work by Merca, we show the partition function involving parts of k different magnitudes, shifted by the triangular numbers, equals the self convolution of the unrestricted partition function. We also provide a combinatorial proof of this result.
Keywords
Cite
@article{arxiv.1806.05416,
title = {An Identity for the Partition Function Involving Parts of k Different Magnitudes},
author = {Saud Hussein},
journal= {arXiv preprint arXiv:1806.05416},
year = {2018}
}