grandes-ecoles 2024 Q32

grandes-ecoles · France · x-ens-maths-d__mp Number Theory Divisibility and Divisor Analysis

Deduce that $k!$ divides $D^n v_n(k)$ for all $n$ and $k$ such that $n \geq kr$.

Deduce that $k!$ divides $D^n v_n(k)$ for all $n$ and $k$ such that $n \geq kr$.