On the powers of a real number reduced modulo one
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- by Fred Supnick, H. J. Cohen and J. F. Keston PDF
- Trans. Amer. Math. Soc. 94 (1960), 244-257 Request permission
References
- J. F. Koksma, Ein mengentheoretischer Satz über die Gleichverteilung modulo Eins, Compositio Math. 2 (1935), 250–258 (German). MR 1556918 E. Hecke, Vorlesungen über die Theorie der algebraichen Zahlen, New York, Chelsea, 1948. cf. Satz 60 p. 78; or H. Pollard, The theory of algebraic numbers, New York, Wiley, 1950. Cf. Lemma 6.1, p. 58.
- A. Gelfond, Sur la divisibilité de la différence des puissances de deux nombres entiers par une puissance d’un idéal premier, Rec. Math. [Mat. Sbornik] N.S. 7(49) (1940), 7–25 (French, with Russian summary). MR 0001755
- K. Th. Vahlen, Über reductible Binome, Acta Math. 19 (1895), no. 1, 195–198 (German). MR 1554867, DOI 10.1007/BF02402875 B. L. van der Waerden, Modern algebra, vol. 1, New York, Ungar, 1949, p. 74.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 94 (1960), 244-257
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0115980-0
- MathSciNet review: 0115980