Moments and pseudo moments of the zeta function - ENS (1/15)

par Timothé Rampal

lundi 5 oct. 2026, 16:30 → 17:30 Europe/Paris

ENS Lyon

In analytic number theory, Lindelöf's hypothesis (LH) gives an upper bound of the Riemann zeta function on the critical line « Re(s)=1/2 », and can be seen as a weak form of the celebrated Riemann hypothesis. (LH) is then equivalent to obtaining bounds on moments of the zeta function which seems to be an easier problem to (but it is not). We will see how these questions about moments of zeta will naturally bring us to consider the so called pseudo-moments, which shows the need for the notion of multivariable multiplicative functions.