On linear recurrence sequences with polynomial coefficients

DOI10.1017/S0017089500031372zbMath0862.11011OpenAlexW2012904423MaRDI QIDQ4884416

Alfred J. van der Poorten, Igor E. Shparlinski

Publication date: 26 May 1997

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500031372

zbMATH Keywords

polynomial coefficientslinear recurrence sequencemaximum heightupper bound for the period of the sequence

Mathematics Subject Classification ID

Recurrences (11B37)

Related Items (7)

Power series with coefficients from a finite set ⋮ On recurrence sequences with polynomial coefficients ⋮ D-finiteness, rationality, and height. II: Lower bounds over a set of positive density ⋮ D-finiteness, rationality, and height ⋮ D-finiteness, rationality, and height. III: Multivariate Pólya-Carlson dichotomy ⋮ Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)

Cites Work

• D-finite power series
• An inequality about irreducible factors of integer polynomials
• Differentiably finite power series
• On the distribution of values of recurring sequences and the Bell numbers in finite fields
• On the growth of recurrence sequences

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