Mazur, Marcin; Petrenko, Bogdan V. Generalizations of Arnold’s version of Euler’s theorem for matrices. (English) Zbl 1234.05016 Jpn. J. Math. (3) 5, No. 2, 183-189 (2010); addendum ibid. 6, No. 1, 63-64 (2011)]. MSC: 05A10 11A07 11C20 PDFBibTeX XMLCite \textit{M. Mazur} and \textit{B. V. Petrenko}, Jpn. J. Math. (3) 5, No. 2, 183--189 (2010; Zbl 1234.05016) Full Text: DOI
Ostafe, Alina; Shparlinski, Igor E. On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators. (English) Zbl 1227.11093 Math. Comput. 79, No. 269, 501-511 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11K45 11T23 37A45 37F10 PDFBibTeX XMLCite \textit{A. Ostafe} and \textit{I. E. Shparlinski}, Math. Comput. 79, No. 269, 501--511 (2010; Zbl 1227.11093) Full Text: DOI arXiv
Zarelua, A. V. On congruences for the traces of powers of some matrices. (English. Russian original) Zbl 1243.11021 Proc. Steklov Inst. Math. 263, 78-98 (2008); translation from Tr. Mat. Inst. Steklova 263, 85-105 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 11C20 15B36 11A07 11R04 11R32 PDFBibTeX XMLCite \textit{A. V. Zarelua}, Proc. Steklov Inst. Math. 263, 78--98 (2008; Zbl 1243.11021); translation from Tr. Mat. Inst. Steklova 263, 85--105 (2008) Full Text: DOI
Uribe-Vargas, Ricardo Arithmetics of the numbers of orbits of the Fermat-Euler dynamical systems. (English) Zbl 1196.11008 Funct. Anal. Other Math. 1, No. 1, 71-83 (2006). MSC: 11A07 11A41 37B99 05C20 05C25 PDFBibTeX XMLCite \textit{R. Uribe-Vargas}, Funct. Anal. Other Math. 1, No. 1, 71--83 (2006; Zbl 1196.11008) Full Text: DOI