Sylvester-Cayley vector partitions algorithm and the Gaussian polynomials
Combinatorics
2023-08-02 v3 Number Theory
Abstract
We extend an algorithm suggested in 1858 by Sylvester and implemented in 1860 by Cayley for a problem of double partitions and apply it to derivation of explicit expressions for coefficients of the Gaussian polynomials through convolution of restricted partition functions.
Cite
@article{arxiv.2112.06983,
title = {Sylvester-Cayley vector partitions algorithm and the Gaussian polynomials},
author = {Boris Y. Rubinstein},
journal= {arXiv preprint arXiv:2112.06983},
year = {2023}
}
Comments
14 pages