Elliptic Curves in Recreational Number Theory
Number Theory
2016-10-12 v1
Abstract
Several problems which could be thought of as belonging to recreational mathematics are described. They are all such that solutions to the problem depend on finding rational points on elliptic curves. Many of the problems considered lead to the search for points of very large height on the curves, which (as yet) have not been found.
Keywords
Cite
@article{arxiv.1610.03430,
title = {Elliptic Curves in Recreational Number Theory},
author = {Allan MacLeod},
journal= {arXiv preprint arXiv:1610.03430},
year = {2016}
}
Comments
121 pages - a summary of 23 years of mathematical doodling on the various problems discussed