38 citations · 87 across the 12 of their papers we have counts for
6 papers · 1 filter
Affine Sieve
Alireza Salehi Golsefidy, Peter Sarnak
We establish the main saturation conjecture in [BGS10] connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This is carried…
S-Arithmetic Khintchine-Type Theorem
Amir Mohammadi, Alireza Salehi Golsefidy
In this article we prove a convergence S-arithmetic Khintchine-type theorem for product of non-degenerate v-adic manifolds, where one of them is the Archimedian place.
Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic
Alireza Salehi Golsefidy
In this article, we show that if G is a simply connected Chevalley group of either classical type of rank bigger than 1 or type E6, and q > 9 is a power of a prime number p > 5, th…
Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
Amir Mohammadi, Alireza Salehi Golsefidy
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the p-adic case the divergence part is also obt…
Counting lattices in simple Lie groups: the positive characteristic case
Alireza Salehi Golsefidy
In this article we prove a conjecture of A. Lubotzky: let G = G_0(K), where K is a local field of characteristic p>5, G_0 is a simply connected, absolutely almost simple K-group of…
Expansion in perfect groups
Alireza Salehi Golsefidy, Péter P. Varjú
Let Ga be a subgroup of GL_d(Q) generated by a finite symmetric set S. For an integer q, denote by Ga_q the subgroup of Ga consisting of the elements that project to the unit eleme…