A Full Characterisation of Divisibility Sequences

DOI10.2307/2374733zbMath0716.11008OpenAlexW2326135900MaRDI QIDQ3203072

Jean-Paul Bézivin, Alfred J. van der Poorten, Attila Pethoe

Publication date: 1990

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374733

zbMATH Keywords

divisibility sequencelinear homogeneous recurrence relations

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (14)

Commutative Schur Rings of Maximal Dimension ⋮ Mean divisibility of multinomial coefficients ⋮ New strong divisibility sequences ⋮ Periodicity of balancing numbers ⋮ Unnamed Item ⋮ Factorisation in the ring of exponential polynomials ⋮ On the gcd's of \(k\) consecutive terms of Lucas sequences ⋮ Primes in Elliptic Divisibility Sequences ⋮ \(p\)-adic properties of division polynomials and elliptic divisibility sequences ⋮ Generalized Vandermonde determinants and characterization of divisibility sequences ⋮ INTERSECTION THEORIES AND CHEBYSHEV POLYNOMIALS III ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ Identities and estimations involving the least common multiple of strong divisibility sequences ⋮ Divisibility properties of binary recurrent sequences

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