Geometric aspects of Lucas sequences. I

DOI10.3836/tjm/1502179294zbMath1469.11026OpenAlexW2922307646MaRDI QIDQ784830

Noriyuki Suwa

Publication date: 3 August 2020

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

Full work available at URL: https://projecteuclid.org/euclid.tjm/1552013766

zbMATH Keywords

group schemesLucas sequencesaffine group schemesdivisibility problemgeometric viewpoint

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Group schemes (14L15)

Cites Work

• The linear \(p\)-adic recurrence of order two
• Twisted Kummer and Kummer-Artin-Schreier theories
• One-dimensional affine group schemes
• Mod \(p\) equivalence classes of linear recurrence sequences of degree 2
• On the Laxton group
• On groups of linear recurrences. I
• On groups of linear recurrences. II: Elements of finite order
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