An Identity for Vertically Aligned Entries in Pascal's Triangle
Combinatorics
2019-02-04 v2 Number Theory
Abstract
The classic way to write down Pascal's triangle leads to entries in alternating rows being vertically aligned. In this paper, we prove a linear dependence on vertically aligned entries in Pascal's triangle. Furthermore, we give an application of this dependence to morphisms between hyperelliptic curves.
Keywords
Cite
@article{arxiv.1901.08653,
title = {An Identity for Vertically Aligned Entries in Pascal's Triangle},
author = {Heidi Goodson},
journal= {arXiv preprint arXiv:1901.08653},
year = {2019}
}
Comments
8 pages. Revised Remark 1, results unchanged. Comments are welcome