grandes-ecoles 2025 Q2

grandes-ecoles · France · x-ens-maths-d__mp Sequences and Series Properties and Manipulation of Power Series or Formal Series

Show that if $P, Q : \mathbb{Z} \rightarrow \mathbb{C}$ are two quasi-polynomial functions such that $P(n) = Q(n)$ for all $n \geq 0$, then $P = Q$.

Show that if $P, Q : \mathbb{Z} \rightarrow \mathbb{C}$ are two quasi-polynomial functions such that $P(n) = Q(n)$ for all $n \geq 0$, then $P = Q$.