On some number-theoretic conjectures of V. Arnold

DOI10.1007/s11537-007-0705-4zbMath1168.05004OpenAlexW2022707633WikidataQ123290283 ScholiaQ123290283MaRDI QIDQ1000342

Ernest B. Vinberg

Publication date: 6 February 2009

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

Full work available at URL: https://doi.org/10.1007/s11537-007-0705-4

zbMATH Keywords

algebraic integersmultinomial coefficientsEuler congruences

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Algebraic numbers; rings of algebraic integers (11R04) Matrices, determinants in number theory (11C20)

Related Items

Editors’ Preface ⋮ Binomial coefficients, Catalan numbers and Lucas quotients ⋮ Generalizations of Arnold's version of Euler's theorem for matrices ⋮ Representations of analytic functions as infinite products and their application to numerical computations ⋮ Dold sequences, periodic points, and dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• On the matricial version of Fermat-Euler congruences
• On matrix analogs of Fermat's little theorem
• A Coloring Proof of a Generalisation of Fermat's Little Theorem