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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 non-trivial zeroes of the zeta function and leads to a necessary and sufficient condition for the Riemann Hypothesis to hold.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01292817
Contributor : Julien Bureaux Connect in order to contact the contributor
Submitted on : Thursday, March 24, 2016 - 10:40:47 AM
Last modification on : Tuesday, November 16, 2021 - 4:51:31 AM
Long-term archiving on: : Monday, November 14, 2016 - 3:36:52 AM

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nb-convex-chains.pdf
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  • HAL Id : hal-01292817, version 1
  • ARXIV : 1603.09587

Citation

Julien Bureaux, Nathanaël Enriquez. On the number of lattice convex chains. 2016. ⟨hal-01292817⟩

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