Determinations of Jacobsthal sums

Ronald James Evans

Vol. 110 (1984), No. 1, 49–58

DOI: 10.2140/pjm.1984.110.49

Abstract

The sign ambiguities are resolved in evaluations of Jacobsthal sums ∑ _m=1^p(m(m^k + a)∕p) for k = 2,3,4,6,10, and 12, where ( ∕p) denotes the Legendre symbol.

Mathematical Subject Classification 2000

Primary: 11L10

Milestones

Received: 3 March 1982

Revised: 7 June 1982

Published: 1 January 1984