Displaying similar documents to “On the 2-primary part of K₂ of rings of integers in certain quadratic number fields”

On the prime density of Lucas sequences

Pieter Moree (1996)

Journal de théorie des nombres de Bordeaux

Similarity:

The density of primes dividing at least one term of the Lucas sequence L n ( P ) n = 0 ∞ , defined by L 0 ( P ) = 2 , L 1 ( P ) = P and L n ( P ) = P L n - 1 ( P ) + L n - 2 ( P ) for n ≥ 2 , with P an arbitrary integer, is determined.

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.