On the number of lattice convex chains
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 nontrivial zeros of the zeta function and leads to a necessary and sufficient condition for the Riemann Hypothesis to hold.
 Publication:

arXiv eprints
 Pub Date:
 March 2016
 arXiv:
 arXiv:1603.09587
 Bibcode:
 2016arXiv160309587B
 Keywords:

 Mathematics  Probability;
 Mathematics  Combinatorics
 EPrint:
 15 pages, 2 figures