Density of prime divisors of linear recurrences

DOI10.1090/memo/0551zbMath0827.11006OpenAlexW4212806585MaRDI QIDQ4837767

Christian Ballot

Publication date: 24 July 1995

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0551

zbMATH Keywords

linear recurring sequencesprime divisorsdensityrank of apparitiontwin prime divisors

Mathematics Subject Classification ID

Recurrences (11B37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Special sequences and polynomials (11B83) Density, gaps, topology (11B05)

Related Items (15)

Prime divisors of sparse integers ⋮ Counting monic irreducible polynomials \(P\) in \(\mathbb F_q[X\) for which order of \(X\pmod P\) is odd] ⋮ Divisibility properties of the Fibonacci entry point ⋮ On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ Moser's mathemagical work on the equation \(1^k+2^k+\ldots+(m-1)^k=m^k\) ⋮ Positive lower density for prime divisors of generic linear recurrences ⋮ The order of the reductions of an algebraic integer ⋮ The density of primes \(P\), such that \(-1\) is a residue modulo \(P\) of two consecutive Fibonacci numbers, is \(2/3\) ⋮ On the prime density of Lucas sequences ⋮ A two-variable Artin conjecture ⋮ Cyclic self-dual \(\mathbb Z_4\)-codes. ⋮ On the Laxton group ⋮ 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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