Variations on Ramanujan's nested radicals
Number Theory
2015-11-24 v1
Abstract
We give new nested radical equations of similar kind to Ramanujan's questions to the Indian Mathematical Society 100 years ago. While many have since considered these from the perspectives of the Notebooks of Ramanujan and from the theory of Class numbers and Units, there seems no comprehensive theory to cover off the results, and it seems always possible to find new and surprizing elementary equations of this kind. We also consider a few more methods of constructing nested radicals.
Keywords
Cite
@article{arxiv.1511.06865,
title = {Variations on Ramanujan's nested radicals},
author = {Geoffrey B Campbell and Aleksander Zujev},
journal= {arXiv preprint arXiv:1511.06865},
year = {2015}
}
Comments
6 pages