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- W2950953603 abstract "We consider absolutely irreducible polynomials $f in Z[x,y]$ with $deg_x(f)=m$, $deg_y(f)=n$ and height $H$. We show that for any prime $p$ with $p>c_{mn} H^{2mn+n-1}$ the reduction $f bmod p$ is also absolutely irreducible. Furthermore if the Bouniakowsky conjecture is true we show that there are infinitely many absolutely irreducible polynomials $f in Z[x,y]$ which are reducible mod $p$ where $p$ is a prime with $p>H^{2m}$." @default.
- W2950953603 created "2019-06-27" @default.
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- W2950953603 date "1998-08-05" @default.
- W2950953603 modified "2023-09-27" @default.
- W2950953603 title "Reducibility of polynomials $f(x,y)$ modulo $p$" @default.
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