Tatchai Titichetrakun

most citedA Multidimensional Szemerédi Theorem in the primes

5 citations · 6 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2016

Almost prime solutions to diophantine systems of high rank

Akos Magyar, Tatchai Titichetrakun

Let $\F$ be a family of $r$ integral forms of degree $k \geq 2$ and $\LL=(l_1,\ldots,l_m)$ be a family of pairwise linearly independent linear forms in $n$ variables $\x=(x_1,...,x_…

math.NT2013★ 1 cited

Corners in dense subsets of P^d

Ákos Magyar, Tatchai Titichetrakun

Let $\PP^d$ be the $d$ -fold direct product of the set of primes. We prove that if $A$ is a subset of $\PP^d$ of positive relative upper density then $A$ contains infinitely many "c…

math.NT2013★ 5 cited

A Multidimensional Szemerédi Theorem in the primes

Brian Cook, Ákos Magyar, Tatchai Titichetrakun

Let $A$ be a subset of positive relative upper density of $\PP^d$, the $d$ -tuples of primes. We prove that $A$ contains an affine copy of any finite set $F\subs\Z^d$, which provide…