Prime divisors of Lucas sequences

Pieter Moree; Peter Stevenhagen

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Displaying similar documents to “Prime divisors of Lucas sequences”

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 ${\{L_{n} (P)\}}_{n = 0}^{\infty}$ , defined by $L_{0} (P) = 2, L_{1} (P) = P$ and $L_{n} (P) = P L_{n - 1} (P) + L_{n - 2} (P)$ for $n \geq 2$ , with $P$ an arbitrary integer, is determined.

Computations of Iwasawa invariants and $𝐊_{2}$

Alan Candiotti (1974)

Compositio Mathematica

Similarity:

A problem of Erdös concerning power residue sums.

P. Elliott (1967)

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.

Initial layers of $Z_{l}$ -extensions of complex quadratic fields

J. E. Carroll, H. Kisilevsky (1976)

Compositio Mathematica

Similarity:

On determining the quadratic subfields of $Z_{2}$ -extensions of complex quadratic fields

Joseph E. Carroll (1975)

Compositio Mathematica

Similarity:

Class number parity of a compositum of five quadratic fields

Michal Bulant (2002)

Acta Mathematica et Informatica Universitatis Ostraviensis

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: