Prime divisors of Lucas sequences

DOI10.4064/aa-82-4-403-410zbMath0913.11048OpenAlexW2162601219MaRDI QIDQ4369669

Peter Stevenhagen, Pieter Moree

Publication date: 8 January 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207101

zbMATH Keywords

prime divisorsreal quadratic fieldLucas sequencefundamental unitChebotarev density theorem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Density theorems (11R45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Counting monic irreducible polynomials \(P\) in \(\mathbb F_q[X\) for which order of \(X\pmod P\) is odd] ⋮ On the divisibility of the rank of appearance of a Lucas sequence ⋮ Positive lower density for prime divisors of generic linear recurrences ⋮ A two-variable Artin conjecture ⋮ Prime divisors of the Lagarias sequence ⋮ Prime divisors of linear recurrences and Artin's primitive root conjecture for number fields ⋮ On the distribution of the order and index of \(g\) (mod \(p\)) over residue classes. I

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