Factorials as sums
历史与综述
2007-05-23 v1 组合数学
摘要
In this paper we give an additive representation of the factorial, which can be proven by a simple quick analytical argument. We also present some generalizations, which are linked, on the one hand to an arithmetical theorem proven by Euler (decomposition of primes as the sum of two squares), and, on the other hand, to modern combinatorics (Stirling numbers).
引用
@article{arxiv.math/0702010,
title = {Factorials as sums},
author = {Roberto Anglani and Margherita Barile},
journal= {arXiv preprint arXiv:math/0702010},
year = {2007}
}