Note on $S$-numbers
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- by W. J. LeVeque
- Proc. Amer. Math. Soc. 4 (1953), 189-190
- DOI: https://doi.org/10.1090/S0002-9939-1953-0054659-2
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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, Izv. Akad. Nauk SSSR Ser. Mat. 15 (1951), 53–74 (Russian). MR 0039768
Bibliographic 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