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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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Trans. Amer. Math. Soc. 22 (1921), 1-30 Request permission
References
    J. Liouville (1-18): Sur quelques formules générales qui peuvent être utiles dans la théorie des nombres. Eighteen memoirs, as follows: 1 to 6 in Journal de mathématiques pures et appliquées (2), vol. 3 (1858); 7 to 11 in vol. 4 (1859); 12 in vol. 5 (1860); 13 to 16 in vol. 9 (1864); 17, 18 in vol. 10 (1865). These will be referred to by citing the number of the memoir and the page. J. Liouville (19): Réponse de M. Liouville; Note de M. Liouville; ibid., vol. 7. 1. V. A. Lebesgue, ibid., vol. 7. H. J. S. Smith: Report on the Theory of Numbers (1865), (Collected Papers I), Art. 136. 1. C. M. Piuma, Giornale di Matematiche, vol. 4 (1866), 3 articles. 2. E. Fergola, Giornale di Matematiche, vol. 10 (1872). 3. G. Torelli, ibid., vol. 16 (1878). 4. S. J. Baskakov, Transactions of the Moscow Mathematical Society, vol. 10, I (1882-3). 5. T. Pepin, Accademia pontificia del nuovi Lincei, Atti, vol. 38 (1884-5). 6. N. V. Bougaief, Transactions of the Moscow Mathematical Society, vol. 12 (1885). T. Pepin: Sur quelques formules d’Analyse utiles dans la Théorie des nombres, Journal de mathématiques pures et appliquées, (4), vol. 4 (1888), pp. 83-131. T. Pepin: Sur quelques formes quadratiques quaternaires, ibid., vol. 6 (1890), pp. 1-67. This memoir illustrates one aspect of the usefulness of Liouville’s methods. G. B. Mathews: On a theorem of Liouville’s, Proceedings of the London Mathematical Society, vol. 25 (1893), pp. 85-92. W. Meissner: Inaugural Dissertation, Zürich, 1907. Followed by Bachmann in (8). P. Bachmann: Niedere Zahlentheorie, zweiter Teil, Additive Zahlentheorie, Leipzig (1910), pp. 365-433. G. Humbert, Bulletin des Sciences Mathématiques (2), vol. 34, I (1910). A. Deltour, Nouvelles Annales de Mathématiques (4), vol. 11 (1911).
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Additional Information
  • © Copyright 1921 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 22 (1921), 1-30
  • MSC: Primary 11F99
  • DOI: https://doi.org/10.1090/S0002-9947-1921-1501156-4
  • MathSciNet review: 1501156