
Buchholz, Ralph H.
Quartic rationally derived polynomials โ โ โ
Author(s): Buchholz; MacDougall
Call a polynomial rationally derived if all roots of
and the nonzero derivatives of
are rational.
Conjecture There does not exist a quartic rationally derived polynomial
with four distinct roots.
![$ p \in {\mathbb Q}[x] $](/files/tex/a72fcb0a006c3c2afb3ba69722ccdb2599b83e90.png)
Keywords: derivative; diophantine; elliptic; polynomial
