Almost primes in various settings

Paweł Lewulis

Let $k\ge 3$ and let $L_i(n)=A_{i}n+B_i$ be some linear forms such that $A_i$ and $B_i$ are integers. Define $\mathcal{P}(n)={\prod }_{i=1}^k{L}_i(n)$. For each $k$ it is known…