Á. Magyar

collaborators

5 papers

math.MG2026

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 $Δ_{o}$ together with their barycenter. We prove that any subset $A \subseteq R^{n}$ …

math.NT2026

On almost primes solutions to forms of odd degrees in many variables

Akos Magyar

Let $F = {f_{1}, \dots, f_{R}}$ be a family of forms of odd degrees at most $d$ in $s$ variables. We study the solutions to the system $f_1(\mathbf{x})=\ldots=f_R(\mathbf{x})=…

math.CA2025

The VC-dimension and point configurations in $R^{d}$

Alex Iosevich, Akos Magyar, Alex McDonald +1

Given a set $X$ and a collection $H$ of functions from $X$ to ${0, 1}$ , the VC-dimension measures the complexity of the hypothesis class $H$ in the context of…

math.CA2025

Discrete maximal operators and pinned simplices

Neil Lyall, Akos Magyar, Alex Newman +1

We prove $ℓ^{2}$ estimates for certain discrete maximal operators associated to simplices. These operators are generalizations of the discrete spherical maximal operator.

math.NT2025

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…