Yet Another Riemann Hypothesis
Number Theory
2011-01-04 v1
Abstract
This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These results indicate a broad class of previously unexamined functions may obey the Riemann hypothesis in general, and even share the non-trivial zeros in particular.
Cite
@article{arxiv.1101.0311,
title = {Yet Another Riemann Hypothesis},
author = {Linas Vepstas},
journal= {arXiv preprint arXiv:1101.0311},
year = {2011}
}
Comments
12 pages, dozens of figures