9 citations · 18 across the 21 of their papers we have counts for
4 papers · 1 filter
Automorphic density estimates and optimal Diophantine exponents
Mikolaj Fraczyk, Alexander Gorodnik, Amos Nevo
The present paper is devoted to establishing an optimal approximation exponent for the action of an irreducible uniform lattice subgroup of a product group on its proper factors. P…
The density hypothesis for horizontal families of lattices
Mikołaj Frączyk, Gergely Harcos, Péter Maga +1
We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving b…
On the optimal rate of equidistribution in number fields
Mikolaj Fraczyk, Anna Szumowicz
Let be a number field. We study how well can finite sets of equidistribute modulo powers of prime ideals, for all prime ideals at the same time. Our main result…
Strong Limit Multiplicity for arithmetic hyperbolic surfaces and -manifolds
Mikolaj Fraczyk
We show that every sequence of torsion-free arithmetic congruence lattices in or satisfies a strong quantitative version of…