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Bounds for pairs of consecutive seventh and higher power residues


Authors: John Brillhart, D. H. Lehmer and Emma Lehmer
Journal: Math. Comp. 18 (1964), 397-407
MSC: Primary 10.06; Secondary 10.03
DOI: https://doi.org/10.1090/S0025-5718-1964-0164923-X
MathSciNet review: 0164923
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References [Enhancements On Off] (What's this?)

  • [1] M. Dunton, ``A bound for consecutive pairs of cubic residues.'' (To appear.)
  • [2] D. H. & Emma Lehmer, ``On runs of residues,'' Proc. Amer. Math. Soc., v. 12, 1962, p. 102-106. MR 0138582 (25:2025)
  • [3] D. H. & Emma Lehmer & W. H. Mills, ``Pairs of consecutive power residues,'' Canad. J. Math., v. 15, 1962, p. 172-177. MR 0146134 (26:3660)
  • [4] D. H. & Emma Lehmer & W. H. Mills & J. L. Selfridge, ``Machine proof of a theorem on cubic residues,'' Math. Comp., v. 16, 1962, p. 407-415. MR 0162379 (28:5578)
  • [5] W. H. Mills & R. Bierstedt, ``On the bound for a pair of consecutive quartic residues modulo a prime p,'' Proc. Amer. Math. Soc., v. 14, 1963, p. 628-632. MR 0154843 (27:4787)
  • [6] W. H. Mills, ``Characters with preassigned values,'' Canad. J. Math., v. 15, 1962, p. 169-171. MR 0156828 (28:71)
  • [7] L. E. Dickson, ``Cyclotomy and trinomial congruences,'' Trans. Amer. Math. Soc., v. 37, 1935, p. 363-380. MR 1501791
  • [8] A. J. C. Cunningham & H. J. Woodall, Factorisation of $ ({y^n} \pm 1)$, Hodgson, London, 1925, p. 10-11.
  • [9] D. H. Lehmer, ``An extended theory of Lucas' functions,'' Ann. of Math., v. 31, 1930, p. 421-422.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1964-0164923-X
Article copyright: © Copyright 1964 American Mathematical Society

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