scientific article

zbMath0717.11012MaRDI QIDQ3204540

Frits Beukers

Publication date: 1991

Full work available at URL: http://www.numdam.org/item?id=CM_1991__77_2_165_0

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zbMATH Keywords

linear recurrencesgap principleWard's conjectureternary recurrence of rational numberszero-multiplicity at most six

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61)

Related Items (13)

Effective bounds for the zeros of linear recurrences in function fields ⋮ Counting terms $U_n$ of third order linear recurrences with $U_n=u^2+nv^2$ ⋮ A remarkable family of linear recurrent sequences ⋮ Multiplicities of recurrence sequences ⋮ On the intersection of infinite geometric and arithmetic progressions ⋮ Solving Skolem's problem for the \(k\)-generalized Fibonacci sequence with negative indices ⋮ On the gcd's of \(k\) consecutive terms of Lucas sequences ⋮ The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence ⋮ Linear equations over multiplicative groups, recurrences, and mixing. II ⋮ Arithmetical Study of a Certain Ternary Recurrence Sequence and Related Questions ⋮ Unnamed Item ⋮ On the zero-multiplicity of the k-generalized Fibonacci sequence ⋮ On the multiplicities of Padovan-type sequences

Cites Work

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• Sur les zéros des fonctions symétriques complètes des corps cubiques. (On the zeros of complete symmetric functions in cubic fields)
• On the Zeros of a Cubic Recurrence
• On semi-local binomial units in cubic number fields.
• On the growth of recurrence sequences
• On a conjecture of Morgan Ward, III

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