Translation invariant quadratic forms in $8$ variables and dense sets of primes

Zhaochen Pei, Maoru Tan, Weiwen Zhang +1

Let $Q$ be a translation invariant indefinite quadratic form in $8$ variables. Let $\mathcal{P}$ be the set of all primes. Let $\mathcal{A}\subset \mathcal{P}\cap \{1,\dots ,X\}$. By…