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irreducibility Irreducibility of $x^m-g(y)$

Let $g(y)\in \mathbb{C}[y]$, $ m\in \mathbb{Z}_{ge 2}$$ m\in \mathbb{Z}_{\ge 2}$. IsAre there some results on the irreducibility of $x^m-g(y) in $\mathbb{C}[x,y]$$x^m-g(y)$ in $\mathbb{C}[x,y]$?

irreducibility of $x^m-g(y)$

Let $g(y)\in \mathbb{C}[y]$, $ m\in \mathbb{Z}_{ge 2}$. Is there some results on the irreducibility of $x^m-g(y) in $\mathbb{C}[x,y]$?

Irreducibility of $x^m-g(y)$

Let $g(y)\in \mathbb{C}[y]$, $ m\in \mathbb{Z}_{\ge 2}$. Are there some results on the irreducibility of $x^m-g(y)$ in $\mathbb{C}[x,y]$?

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irreducibility of $x^m-g(y)$

Let $g(y)\in \mathbb{C}[y]$, $ m\in \mathbb{Z}_{ge 2}$. Is there some results on the irreducibility of $x^m-g(y) in $\mathbb{C}[x,y]$?