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Generators and irreducible polynomials over finite fields


Author: Daqing Wan
Journal: Math. Comp. 66 (1997), 1195-1212
MSC (1991): Primary 11T24, 11T55
DOI: https://doi.org/10.1090/S0025-5718-97-00835-1
MathSciNet review: 1401947
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Abstract: Weil's character sum estimate is used to study the problem of constructing generators for the multiplicative group of a finite field. An application to the distribution of irreducible polynomials is given, which confirms an asymptotic version of a conjecture of Hansen-Mullen.


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Additional Information

Daqing Wan
Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
Email: wan@math.psu.edu

DOI: https://doi.org/10.1090/S0025-5718-97-00835-1
Received by editor(s): December 8, 1995
Received by editor(s) in revised form: May 8, 1996
Additional Notes: This research was partially supported by NSF
Article copyright: © Copyright 1997 American Mathematical Society

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