On the number of lattice convex chains
Discrete analysis (2016)
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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.
@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/}
}
Julien Bureaux; Nathanaël Enriquez. On the number of lattice convex chains. Discrete analysis (2016). http://geodesic.mathdoc.fr/item/DAS_2016_a0/