Generalizations of Arnold's version of Euler's theorem for matrices

DOI10.1007/s11537-010-1023-9zbMath1234.05016OpenAlexW1967940020MaRDI QIDQ627549

Bogdan V. Petrenko, Marcin Mazur

Publication date: 2 March 2011

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-010-1023-9

zbMATH Keywords

Euler's theoremcongruences for tracesEuler congruencesFermat's little theorem

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Congruences; primitive roots; residue systems (11A07) Matrices, determinants in number theory (11C20)

Related Items (3)

Cycles, Eulerian digraphs and the Schönemann-Gauss theorem ⋮ Addendum to: ``Generalizations of Arnold's version of Euler's theorem for matrices ⋮ Representations of analytic functions as infinite products and their application to numerical computations

Cites Work

• Unnamed Item
• On congruences for the traces of powers of some matrices
• On the matricial version of Fermat-Euler congruences
• On some number-theoretic conjectures of V. Arnold
• Fermat-Euler dynamical systems and the statistics of arithmetics of geometric progressions
• The topology of algebra: Combinatorics of squaring
• On matrix analogs of Fermat's little theorem
• Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes
• Topology and statistics of formulae of arithmetics
• The matrix Euler-Fermat theorem
• Geometry and dynamics of Galois fields

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