Ducci-sequences and cyclotomic polynomials

DOI10.1016/j.ffa.2005.11.003zbMath1152.11005OpenAlexW1985140775MaRDI QIDQ946882

Brink van der Merwe, Ernest Lötter, Florian Breuer

Publication date: 25 September 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2005.11.003

zbMATH Keywords

cyclotomic polynomialsDucci sequences

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Sequences (mod (m)) (11B50)

Related Items

On the circulant matrices with Ducci sequences and Fibonacci numbers ⋮ Dynamics of finite linear cellular automata over \(\mathbb Z_N\) ⋮ LOWER BOUNDS FOR PERIODS OF DUCCI SEQUENCES ⋮ Characteristic and minimal polynomials of linear cellular automata ⋮ Ducci sequences and cyclotomic fields ⋮ Some properties of circulant matrices with Ducci sequences ⋮ Around Pelikán's conjecture on very odd sequences ⋮ Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields ⋮ PERIODS OF DUCCI SEQUENCES AND ODD SOLUTIONS TO A PELLIAN EQUATION

Cites Work

• Cycles of differences of integers
• Circles of numbers
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