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Composition of Binomial Polynomial

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Abstract

For an irreducible binomial polynomial f(x)=x^n-b in K[x] with a field K,we ask when does the mth iteration f_m is irreduciblebut m+1th f_{m+1} is reducible over K.Let S(n,m) be the set of b's such that f_m is irreducible but f_{m+1} is reducible over K.We investigate the set S(n,m) by taking K as the rational number field.

참고문헌 (13)

  1. F. Beukers, "The Diophantine equation Ax^p+By^q=Cz^r", 91, pp.61~98 (1998)
  2. N. Bruin, "The Diophantine equations x^2pm y^4=pmz^6 and x^2+y^8=z^3", 118, pp.305~321 (1999)
  3. "On powers as sums of two cubes, in Algorithmic Number theory", pp.169~184 (2000), Springer, New York
  4. L. Danielson, "On the irreducibility of the iterates of x^n-b", 130, pp.1589~1597 (2001)
  5. "On the equations z^m =F(x,y) and Ax^p+By^q=Cz^r", 27, pp.513~543 (1995)
  6. "Widning quotients and some variants of Fermat's Last Theorem", 490, pp.81~100 (1997)
  7. "Properties of iterates and composites of polynomials", 54, pp.489~497 (1996)
  8. "Sur l'equation a^3+b^3=c^p", 7, pp.1~13 (1998)
  9. "On the equation x^p+y^p=z^r^A survey, A survey", 3, pp.315~3 (1999)
  10. "The Galois theory of iterates and composites of polynomials", pp.385~ (1985)
  11. "Realising wreath products of cyclic groups as Galois groups", pp.101~35 (1988)
  12. "Some Diophantine equations of the form x^n+y^n=z^m", LXXXVI(3), pp.193~205 (1998)
  13. "Galois groups over mathbb Q of some iterated polynomials", pp.239~ (1992)

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