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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The law of apparition of primes in a Lucasian sequence
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by Morgan Ward PDF
Trans. Amer. Math. Soc. 44 (1938), 68-86 Request permission
References
    R. Fricke Algebra, vol. 1, Braunschweig, 1926.
  • Marshall Hall, Divisibility Sequences of Third Order, Amer. J. Math. 58 (1936), no. 3, 577–584. MR 1507182, DOI 10.2307/2370976
  • —Journal of the London Mathematical Society, vol. 8 (1933), pp. 162-166. D. Hilbert Die Theorie der Algebraischen Zahlkörper.
  • D. H. Lehmer, An extended theory of Lucas’ functions, Ann. of Math. (2) 31 (1930), no. 3, 419–448. MR 1502953, DOI 10.2307/1968235
  • —Annals of Mathematics, (2), vol. 34 (1933), pp. 461-472. S. Lubelski Journal für die Reine und Angewandte Mathematik, vol. 102 (1930), pp. 66-67. —Prace Matematyczno-Fizyczne, vol. 43 (1936), p. 214.
  • 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.
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Additional 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