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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Note on $S$-numbers
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by W. J. LeVeque PDF
Proc. Amer. Math. Soc. 4 (1953), 189-190 Request permission
References
    J. F. Koksma, Diophantische Approximationen, Berlin, 1936.
  • A. Khintchine, Zwei Bemerkungen zu einer Arbeit des Herrn Perron, Math. Z. 22 (1925), no. 1, 274–284 (German). MR 1544723, DOI 10.1007/BF01479606
  • Kurt Mahler, Über das Maßder Menge aller $S$-Zahlen, Math. Ann. 106 (1932), no. 1, 131–139 (German). MR 1512754, DOI 10.1007/BF01455882
  • J. F. Koksma, Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen, Monatsh. Math. Phys. 48 (1939), 176–189 (German). MR 845, DOI 10.1007/BF01696176
  • I. Kubilyus, On the application of I. M. Vinogradov’s method to the solution of a problem of the metric theory of numbers, Doklady Akad. Nauk SSSR (N.S.) 67 (1949), 783–786 (Russian). MR 0030984
  • N. I. Fel′dman, The approximation of certain transcendental numbers. I. Approximation of logarithms of algebraic numbers, Izvestiya Akad. Nauk SSSR. Ser. Mat. 15 (1951), 53–74 (Russian). MR 0039768
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 4 (1953), 189-190
  • MSC: Primary 10.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1953-0054659-2
  • MathSciNet review: 0054659