Properties of cyclic permutation matrices on Potts spin spaces and associated arithmetical polynomials

DOI10.1063/1.529393zbMath0760.11011OpenAlexW2051733933MaRDI QIDQ3977862

Philippe Audit

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529393

zbMATH Keywords

arithmetical polynomialscyclic permutation matricesgeneralization of Fermat's little theoremPotts spin spaces

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20)

Cites Work

• Functions of infinite generalized cyclic matrices
• Expansions of Arithmetical Functions in Infinite Series

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