On the number of lattice convex chains
  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 (MODAL'X), Nathana\"el Enriquez (LPMA, MODAL'X)
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