Irreducibility of the iterates of a quadratic polynomial over a field

Mohamed Ayad; Donald L. McQuillan

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

Value sets of functions over finite fields

Stephen Cohen (1981)

Acta Arithmetica

Similarity:

A quadratic field of prime discriminant requiring three generators for its class group, and related theory

Daniel Shanks, Peter Weinberger (1972)

Acta Arithmetica

Similarity:

A problem of Erdös concerning power residue sums.

P. Elliott (1967)

Acta Arithmetica

Similarity:

Class number calculation of a quartic field from the elliptic unit

Ken Nakamula (1985)

Acta Arithmetica

Similarity:

Unramified quaternion extensions of quadratic number fields

Franz Lemmermeyer (1997)

Journal de théorie des nombres de Bordeaux

Similarity:

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 $ℚ$ , and show how to construct them explicitly.

Integration of some very elementary functions

Jan Mařík (1993)

Mathematica Bohemica

Similarity:

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

On the product of the conjugates outside the unit circle of an algebraic number

Andrzej Schinzel (1973)

Acta Arithmetica

Similarity:

The class number one problem for the non-abelian normal CM-fields of degree 16

Stéphane Louboutin (1997)

Acta Arithmetica

Similarity: