Almost prime solutions to diophantine systems of high rank

Akos Magyar, Tatchai Titichetrakun

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