66 citations · 120 across the 16 of their papers we have counts for
18 papers
Mass of the Frobenius functional on small balls
Andre Reznikov
We show that for a co-compact lattice in a semi-simple quasi-split real group and a fixed abstractly generic automorphic representation, Frobenius functional assigns small mass to…
Polarization and covering on sets of low smoothness
A. Anderson, A. Reznikov, O. Vlasiuk +1
In this paper we study the asymptotic properties of point configurations that achieve optimal covering of sets lacking smoothness. Our results include the proofs of the existence o…
Limiting cycles and periods of Maass forms
Andre Reznikov
We consider (generalized) periods of Maass forms along non-closed geodesics having a closed geodesic as the limit set.
Lattice points counting and bounds on periods of Maass forms
Andre Reznikov, Feng Su
We provide a "soft" proof for non-trivial bounds on spherical, hyperbolic and unipotent Fourier coefficients of a fixed Maass form for a general co-finite lattice in …
Nodal domains of Maass forms II
Amit Ghosh, Andre Reznikov, Peter Sarnak
In Part I we gave a polynomial growth lower-bound for the number of nodal domains of a Hecke-Maass cuspform in a compact part of the modular surface, assuming a Lindelöf hypothesis…
Periods and global invariants of automorphic representations
Joseph Bernstein, Andre Reznikov
We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and…