6 citations · 32 across the 10 of their papers we have counts for
5 papers · 1 filter
Lifting all elements in
Amitay Kamber, Péter P. Varjú
We show that every element of can be lifted to an element of of norm at most , while there exist…
Optimal Diophantine Exponents for
Subhajit Jana, Amitay Kamber
The \emph{Diophantine exponent} of an action of a group on a homogeneous space, as defined by Ghosh, Gorodnik, and Nevo, quantifies the complexity of approximating the points of th…
On the local -Bound of the Eisenstein Series
Subhajit Jana, Amitay Kamber
We study the growth of the local -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a \emph{poly-logarith…
On Sarnak's Density Conjecture and its Applications
Konstantin Golubev, Amitay Kamber
Sarnak's Density Conjecture is an explicit bound on the multiplicities of non-tempered representations in a sequence of cocompact congruence arithmetic lattices in a semisimple Lie…
Optimal Lifting for the Projective Action of
Amitay Kamber, Hagai Lavner
Let and let be a prime going to infinity. We prove that with high probability given in the projective plane over the finite field there exists in $SL_3(Z)…