Displaying similar documents to “Irreducibility of the iterates of a quadratic polynomial over a field”

Unramified quaternion extensions of quadratic number fields

Franz Lemmermeyer (1997)

Journal de théorie des nombres de Bordeaux

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Classical results of Rédei, Reichardt and Scholz show that unramified cyclic quartic extensions of quadratic number fields k correspond to certain factorizations of its discriminant disc k . In this paper we extend their results to unramified quaternion extensions of k which are normal over , and show how to construct them explicitly.

Integration of some very elementary functions

Jan Mařík (1993)

Mathematica Bohemica

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Let m be a natural number. Let f , g and Q be real polynomials such that { d e g f , d e g g } { 1 , 2 } , d e g Q < m d e g f , g is not a square and f has imaginary roots, if it is not linear. Effective methods for the integration of Q / ( f m g are exhibited.