The law of apparition of primes in a Lucasian sequence
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- by Morgan Ward
- Trans. Amer. Math. Soc. 44 (1938), 68-86
- DOI: https://doi.org/10.1090/S0002-9947-1938-1501963-0
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References
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- Edouard Lucas, Theorie des Fonctions Numeriques Simplement Periodiques, Amer. J. Math. 1 (1878), no. 4, 289–321 (French). MR 1505176, DOI 10.2307/2369373 —Théorie des Nombres, Paris, 1891. T. A. Pierce Annals of Mathematics, (2), vol. 18 (1916-1917), pp. 51-64. P. Poulet L’Intermédiaire des Mathématiciens, vol. 27, pp. 86-87; (2), vol. 1, p. 47; vol. 3, p. 61. Schatanovski Bulletin de la Société Physico-Mathématique de Kazan, (2), vol. 12 (1902), pp. 33-49 (in Russian).
- Morgan Ward, Arithmetical properties of sequences in rings, Ann. of Math. (2) 39 (1938), no. 1, 210–219. MR 1503399, DOI 10.2307/1968724 —These Transactions, vol. 41 (1937), pp. 276-286. —American Journal of Mathematics, vol. 59 (1937), pp. 921-926.
- Morgan Ward, Residuation in structures over which a multiplication is defined, Duke Math. J. 3 (1937), no. 4, 627–636. MR 1546017, DOI 10.1215/S0012-7094-37-00351-X —Bulletin of the American Mathematical Society, vol. 40 (1934), pp. 279-281. —Annals of Mathematics, (2), vol. 38 (1937), pp. 725-732.
Bibliographic Information
- © Copyright 1938 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 44 (1938), 68-86
- MSC: Primary 11A41; Secondary 11B39
- DOI: https://doi.org/10.1090/S0002-9947-1938-1501963-0
- MathSciNet review: 1501963