EUDML | On the prime density of Lucas sequences

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Displaying similar documents to “On the prime density of Lucas sequences”

A problem of Erdös concerning power residue sums.

P. Elliott (1967)

Acta Arithmetica

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Prime divisors of Lucas sequences

Pieter Moree, Peter Stevenhagen (1997)

Acta Arithmetica

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Computations of Iwasawa invariants and $𝐊_{2}$

Alan Candiotti (1974)

Compositio Mathematica

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Some remarks on the discrepancy of the sequence $(α \sqrt{n})$

Christoph Baxa (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Reducibility of lacunary polynomials, V

Andrzej Schinzel (1984)

Acta Arithmetica

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Class number parity of a compositum of five quadratic fields

Michal Bulant (2002)

Acta Mathematica et Informatica Universitatis Ostraviensis

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