27 citations · 27 across the 2 of their papers we have counts for
4 papers
Möbius disjointness for homogeneous dynamics
Ryan Peckner
We prove Sarnak's Möbius disjointness conjecture for all unipotent translations on homogeneous spaces of real connected Lie groups. Namely, we show that if is any such group, $…
Uniqueness of the measure of maximal entropy for the squarefree flow
Ryan Peckner
The squarefree flow is a natural dynamical system whose topological and ergodic properties are closely linked to the behavior of squarefree numbers. We prove that the squarefree fl…
Low-lying Zeros of Number Field -functions
Steven J. Miller, Ryan Peckner
One of the most important statistics in studying the zeros of L-functions is the 1-level density, which measures the concentration of zeros near the central point. Fouvry and Iwani…
A unitary test of the Ratios Conjecture
John Goes, Steven Jackson, Steven J. Miller +4
The Ratios Conjecture of Conrey, Farmer and Zirnbauer predicts the answers to numerous questions in number theory, ranging from n-level densities and correlations to mollifiers to…