International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 23408, 7 pages
doi:10.1155/2007/23408
On Polynomials of the Form xrf(x(q−1)/l)
Amir Akbary1
and Qiang Wang2
1Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, Lethbridge T1K 3M4, Alberta, Canada
2School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa K1S 5B6, Ontario, Canada
Abstract
We give a general criterion for permutation polynomials of the form xrf(x(q−1)/l), where r≥1, l≥1 and l∣(q−1). We employ this criterion to characterize several classes of permutation polynomials.