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arXiv · 1603.09587

On the number of lattice convex chains

Julien Bureaux·Nathanaël Enriquez
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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.

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Julien Bureaux, Nathanaël Enriquez. 2016-12-11. On the number of lattice convex chains. https://doi.org/10.19086/da1013

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