30 citations · 95 across the 25 of their papers we have counts for
31 papers
The Furstenberg-Sárközy theorem for sums of an even number of odd powers
Alexandros Kalogirou, Andrew Lott, Ákos Magyar +1
We obtain a Furstenberg-Sárközy-type result for sets whose difference set does not contain the sum of -many -th powers of positive integers, with o…
Quasipolynomial density bounds for -point configurations in
Andrew Lott, Ákos Magyar, Nagendar Reddy Ponagandla
Let with and . Let be the vertex set of a nondegenerate -simplex, and let contain no no…
Simplex--center configurations in dense subsets of Euclidean spaces and the integer lattice
Akos Magyar
We obtain density Ramsey theorems for configurations consisting of the vertices of a simplex together with their barycenter. We prove that any subset …
On almost primes solutions to forms of odd degrees in many variables
Akos Magyar
Let be a family of forms of odd degrees at most in variables. We study the solutions to the system $f_1(\mathbf{x})=\ldots=f_R(\mathbf{x})=…
The VC-dimension and point configurations in
Alex Iosevich, Akos Magyar, Alex McDonald +1
Given a set and a collection of functions from to , the VC-dimension measures the complexity of the hypothesis class in the context of…
On the frequency of small gaps between the primes
Akos Magyar, Janos Pintz
In a recent work Friedlander studied the problem of how large consecutive prime gaps should be in order that the sum of the reciprocals should be divergent. Supposing a very deep H…