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On the Waring problem with Dickson polynomials in finite fields


Authors: Alina Ostafe and Igor E. Shparlinski
Journal: Proc. Amer. Math. Soc. 139 (2011), 3815-3820
MSC (2010): Primary 11T06, 11T30
Published electronically: March 11, 2011
MathSciNet review: 2823028
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Abstract: We improve recent results of D. Gomez and A. Winterhof on the Waring problem with Dickson polynomials in finite fields. Our approach is based on recent advances in arithmetic combinatorics in arbitrary finite fields due to A. Glibichuk and M. Rudnev.


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Alina Ostafe
Affiliation: Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland
Email: alina.ostafe@math.uzh.ch

Igor E. Shparlinski
Affiliation: Department of Computing, Macquarie University, Sydney, NSW 2109, Australia
Email: igor.shparlinski@mq.edu.au

DOI: https://doi.org/10.1090/S0002-9939-2011-10843-8
Received by editor(s): September 12, 2010
Published electronically: March 11, 2011
Additional Notes: During the preparation of this paper, the first author was supported in part by SNF Grant 121874 (Switzerland) and the second author by ARC Grant DP1092835 (Australia) and by NRF Grant CRP2-2007-03 (Singapore)
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2011 American Mathematical Society