Note on the number of divisors of reducible quadratic polynomials

Adrian W. Dudek, Łukasz Pańkowski, Victor Scharaschkin

In a recent paper, Lapkova uses a Tauberian theorem to derive the asymptotic formula for the divisor sum ${\sum }_{n\le x}d(n(n+v))$ where $v$ is a fixed integer and $d(n)$ denot…