37 citations · 77 across the 10 of their papers we have counts for
8 papers · 1 filter
The Chebotarev density theorem for function fields -- incomplete intervals
Pär Kurlberg, Lior Rosenzweig
We prove a Polya-Vinogradov type variation of the the Chebotarev density theorem for function fields over finite fields valid for "incomplete intervals" , p…
Prime and Möbius correlations for very short intervals in
Pär Kurlberg, Lior Rosenzweig
We investigate function field analogs of the distribution of primes, and prime -tuples, in "very short intervals" of the form for $…
Diophantine approximation on matrices and Lie groups
Menny Aka, Emmanuel Breuillard, Lior Rosenzweig +1
We study the general problem of extremality for metric Diophantine approximation on submanifolds of matrices. We formulate a criterion for extremality in terms of a certain family…
On metric diophantine approximation in matrices and Lie groups
Menny Aka, Emmanuel Breuillard, Lior Rosenzweig +1
We study the diophantine exponent of analytic submanifolds of the space of m by n real matrices, answering questions of Beresnevich, Kleinbock and Margulis. We identify a family of…
Prime polynomials in short intervals and in arithmetic progressions
Efrat Bank, Lior Bary-Soroker, Lior Rosenzweig
In this paper we establish function field versions of two classical conjectures on prime numbers. The first says that the number of primes in intervals (x,x+x^epsilon] is about x^e…
The Galois group of random elements of linear groups
Alexander Lubotzky, Lior Rosenzweig
Let F be a finitely generated field of characteristic zero and Γ<GL_n(F) a finitely generated subgroup. For an element g in Γ, let Gal(F(g)/ F) be the Galois group of the splitting…