Bounds for pairs of consecutive seventh and higher power residues
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- by John Brillhart, D. H. Lehmer and Emma Lehmer PDF
- Math. Comp. 18 (1964), 397-407 Request permission
References
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M. Dunton, “A bound for consecutive pairs of cubic residues.” (To appear.)
- D. H. Lehmer and Emma Lehmer, On runs of residues, Proc. Amer. Math. Soc. 13 (1962), 102–106. MR 138582, DOI 10.1090/S0002-9939-1962-0138582-6
- D. H. Lehmer, Emma Lehmer, and W. H. Mills, Pairs of consecutive power residues, Canadian J. Math. 15 (1963), 172–177. MR 146134, DOI 10.4153/CJM-1963-020-4
- D. H. Lehmer, E. Lehmer, W. H. Mills, and J. L. Selfridge, Machine proof of a theorem on cubic residues, Math. Comp. 16 (1962), 407–415. MR 162379, DOI 10.1090/S0025-5718-1962-0162379-2
- R. G. Bierstedt and W. H. Mills, On the bound for a pair of consecutive quartic residues of a prime, Proc. Amer. Math. Soc. 14 (1963), 628–632. MR 154843, DOI 10.1090/S0002-9939-1963-0154843-X
- W. H. Mills, Characters with preassigned values, Canadian J. Math. 15 (1963), 169–171. MR 156828, DOI 10.4153/CJM-1963-019-3
- L. E. Dickson, Cyclotomy and trinomial congruences, Trans. Amer. Math. Soc. 37 (1935), no. 3, 363–380. MR 1501791, DOI 10.1090/S0002-9947-1935-1501791-3 A. J. C. Cunningham & H. J. Woodall, Factorisation of $({y^n} \pm 1)$, Hodgson, London, 1925, p. 10-11. D. H. Lehmer, “An extended theory of Lucas’ functions,” Ann. of Math., v. 31, 1930, p. 421-422.
Additional Information
- © Copyright 1964 American Mathematical Society
- 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