Let $f, g \in \mathbb{Z}[x]$ be coprime polynomials. I am interested in an upper bound for $$ N(B) = \# \{ x \in [-B, B] \cap \mathbb{Z}: f(x)|g(x) \}. $$ I assume there must be something known about this quantity... If someone could provide me a reference it would be appreciated. Thank you

ps I assume $\deg f > 0$.

Let $f, g \in \mathbb{Z}[x]$ be coprime polynomials. I am interested in an upper bound for $$ N(B) = \# \{ x \in [-B, B] \cap \mathbb{Z}: f(x)\mid g(x) \}. $$ I assume there must be something known about this quantity... If someone could provide me a reference it would be appreciated. Thank you

ps I assume $\deg f > 0$.

Let $f, g \in \mathbb{Z}[x]$ be coprime polynomials. I am interested in an upper bound for $$ N(B) = \# \{ x \in [-B, B] \cap \mathbb{Z}: f(x)|g(x) \}. $$ I assume there must be something known about this quantity... If someone could provide me a reference it would be appreciated. Thank you

Let $f, g \in \mathbb{Z}[x]$ be coprime polynomials. I am interested in an upper bound for $$ N(B) = \# \{ x \in [-B, B] \cap \mathbb{Z}: f(x)|g(x) \}. $$ I assume there must be something known about this quantity... If someone could provide me a reference it would be appreciated. Thank you

ps I assume $\deg f > 0$.