Lehmer's semi-symmetric cyclotomic sums

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Department of Mathematics, University of California, Davis, California 95616, U.S.A.

P. Bachmann, Die Lehre von der Kreisteilung, Teubner, Leipzig 1927.
L. E. Dickson, Cyclotomy, higher congruences, and Waring's problem, Amer. J. Math. 57 (1935), 391-424.
H. Hasse, Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkörpern, in: Mathematische Abhandlungen, Vol. 3, Walter deGruyter, Berlin 1975 (originally published 1950), 285-379.
S. A. Katre and A. R. Rajwade, Complete solution of the cyclotomic problem in $F_{q}$ for any prime modulus $l, q = p^{α}$ , p ≡ 1 (mod l), Acta Arith. 45 (1985), 183-199.
S. A. Katre and A. R. Rajwade, Unique determination of cyclotomic numbers of order five, Manuscripta Math. 53 (1985), 65-75.
E. Lehmer, On Euler's criterion, J. Austral. Math. Soc. 1 (1959), 64-70.
T. Storer, Cyclotomy and Difference Sets, Markham, Chicago 1967.