Simple proofs and expressions for the restricted partition function and its polynomial part
Combinatorics
2018-02-22 v1
Abstract
In this note, we provide a simple derivation of expressions for the restricted partition function and its polynomial part. Our proof relies on elementary algebra on rational functions and a lemma that expresses the polynomial part as an average of the partition function.
Cite
@article{arxiv.1802.07310,
title = {Simple proofs and expressions for the restricted partition function and its polynomial part},
author = {S. Robins and C. Vignat},
journal= {arXiv preprint arXiv:1802.07310},
year = {2018}
}