Unambiguous Evaluations of Bidecic Jacobi and Jacobsthal Sums

نویسندگان

  • RONALD J. EVANS
  • A. J. van der Poorten
چکیده

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 (modp) are presented, in terms of the partition p = a + 5b+5c+5d, ab = d — c—cd. Similar results for sums of other orders have been obtained by E. Lehmer and by K. S. Williams. Subject classification (Amer. Math. Soc. (MOS) 1970): 10G05.

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تاریخ انتشار 2008