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Unambiguous evaluations of bidecic Jacobi and Jacobsthal sums

Published online by Cambridge University Press:  09 April 2009

Ronald J. Evans
Ronald J. Evans
Affiliation:
Department of Mathematics University of California, San Diego La Jolla, California 92093, U.S.A.
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Abstract

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For a class of primes p ≡ 1 (mod 20) for which 2 is a quintic nonresidue, unambiguous evaluations of parameters of bidecic Jacobi and Jacobsthal sums (mod p) are presented, in terms of the partition p = a2+5b2+5c2+5d2, ab = d2–c2–cd. Similar results for sums of others orders have been obtained by E. Lehmer and by K. S. Williams.

Subject classification (Amer. Math. Soc. (MOS) 1970): 10 G 05.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 2 , September 1979 , pp. 235 - 240
Copyright
Copyright © Australian Mathematical Society 1979

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