On the number of lattice convex chains
Discrete analysis (2016)
Voir la notice de l'article provenant de la source Scholastica
arXiv
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.
Julien Bureaux; Nathanaël Enriquez. On the number of lattice convex chains. Discrete analysis (2016). http://geodesic.mathdoc.fr/item/DAS_2016_a0/
@article{DAS_2016_a0,
author = {Julien Bureaux and Nathana\"el Enriquez},
title = {On the number of lattice convex chains},
journal = {Discrete analysis},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2016_a0/}
}