On the number of lattice convex chains
Probability
2016-12-13 v2 Combinatorics
Abstract
An asymptotic formula is presented for the number of planar lattice convex polygonal lines joining the origin to a distant point of the diagonal. The formula involves the non-trivial zeros of the zeta function and leads to a necessary and sufficient condition for the Riemann Hypothesis to hold.
Keywords
Cite
@article{arxiv.1603.09587,
title = {On the number of lattice convex chains},
author = {Julien Bureaux and Nathanaël Enriquez},
journal= {arXiv preprint arXiv:1603.09587},
year = {2016}
}
Comments
15 pages, 2 figures