Two equivalent versions of the Riemann Hypothesis
Vortrag von Prof. Dr. Nathanaël Enriquez
Sprecher eingeladen von: Prof. Dr. Jean Bertoin
Datum: 28.03.18 Zeit: 17.15 - 19.00 Raum: Y27H12
I will present in this talk two equivalent versions of the Riemann Hypothesis. The first one concerns the probability for two iid integers with geometric distribution to be co-prime. In this respect, it can be viewed as an analog of von Koch's result about the probability of an integer to be prime.
The second one, which apparently has no connection with the first one, concerns the asymptotic number of convex polygonal lines with integer vertices, joining the origin to the point of coordinates $(n,n)$. This work was done with J. Bureaux.