COMPOSITION OF BINOMIAL POLYNOMIAL

Title & Authors
COMPOSITION OF BINOMIAL POLYNOMIAL
Choi, Eun-Mi;

Abstract
For an irreducible binomial polynomial $\small{f(x)=x^n-b{\in}K[x]}$ with a field K, we ask when does the mth iteration $\small{f_m}$ is irreducible but $\small{m+1th\;f_{m+1}}$ is reducible over K. Let S(n, m) be the set of b's such that $\small{f_m}$ is irreducible but $\small{f_{m+1}}$ is reducible over K. We investigate the set S(n, m) by taking K as the rational number field.
Keywords
iterated polynomial;Diophantine equation;ABC conjecture;
Language
English
Cited by
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