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Gauss Sums of Orders Six and Twelve

Published online by Cambridge University Press:  20 November 2018

Ronald Evans
Ronald Evans*
Affiliation:
Department of Mathematics, 0112 University of California at San Diego La Jolla, CA 92093-0112 USA, email: revans@ucsd.edu
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Abstract

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Precise, elegant evaluations are given for Gauss sums of orders six and twelve.

Keywords

11L0511T24
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 1 , 01 March 2001 , pp. 22 - 26
Copyright
Copyright © Canadian Mathematical Society 2001

References

[1] Berndt, B. C. and Evans, R. J., Sums of Gauss, Jacobi, and Jacobsthal. J. Number Theory 11 (1979), 349–398.Google Scholar
[2] Berndt, B. C., Evans, R. J. and Williams, K. S., Gauss and Jacobi sums. Wiley-Interscience, 1998.Google Scholar
[3] Evans, R. J., Bioctic Gauss sums and sixteenth power residue difference sets. Acta Arith. 38 (1980), 37–46.Google Scholar