A generalized Lucas sequence and permutation binomials

Authors:
Amir Akbary and Qiang Wang

Journal:
Proc. Amer. Math. Soc. **134** (2006), 15-22

MSC (2000):
Primary 11T06

Published electronically:
July 21, 2005

MathSciNet review:
2170538

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an odd prime and . Let be an odd positive integer. Let or and . By employing the integer sequence , which can be considered as a generalized Lucas sequence, we construct all the permutation binomials of the finite field .

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Additional Information

**Amir Akbary**

Affiliation:
Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, Lethbridge, Alberta, Canada T1K 3M4

Email:
akbary@cs.uleth.ca

**Qiang Wang**

Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6

Email:
wang@math.carleton.ca

DOI:
https://doi.org/10.1090/S0002-9939-05-08220-1

Received by editor(s):
July 27, 2004

Published electronically:
July 21, 2005

Additional Notes:
The research of both authors was partially supported by NSERC

Communicated by:
Jonathan M. Borwein

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.