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Helson, H.; Kahane, J. P.

A Fourier method in diophantine problems. (English) Zbl 0135.10804

J. Anal. Math. 15, 245-262 (1965).
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Cited in 1 Review
Cited in 11 Documents

Keywords:

number theory
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References:

[1] W. G. Bade and P. C. Curtis, Jr.: Embedding theorems for commutative Banach algebras,Pac. J. Math. (to appear). · Zbl 0156.37002
[2] Erdös, P.; Taylor, S. J., On the set of points of convergence …, Proc. London Math. Soc., 7, 598-615 (1957) · Zbl 0111.26801 · doi:10.1112/plms/s3-7.1.598
[3] Furstenberg, H., Strict Ergodicity and Transformation of torus, Amer. J. Math., 83, 573-601 (1961) · Zbl 0178.38404 · doi:10.2307/2372899
[4] J.-P. Kahane and R. Salem: Ensembles parfaits et sêries trigonomêtriques, Paris 1963 · Zbl 0112.29304
[5] Kahane, J.-P.; Weiss, G. M., On lacunary power series, Arkiv för Matematik, 5, 1-26 (1963) · Zbl 0134.05701 · doi:10.1007/BF02591111
[6] J. F. Koksma: Diophantische Approximationen,Ergeb. Math., Vol. 4, Berlin 1936 · JFM 62.0173.01
[7] W. Rudin: Fourier Analysis on Groups, New York 1962. · Zbl 0107.09603
[8] Salem, R., On sets of multiplicity for trigonometrical series, Amer. J. Math., 64, 531-538 (1942) · Zbl 0060.18603 · doi:10.2307/2371702
[9] R. Salem: Algebraic integers and Fourier series. Boston 1963. · Zbl 0126.07802
[10] Vijayaraghavan, T., On the fractional parts of powers of a number, IV, J. of the Indian Math. Soc., 11, 33-39 (1947) · Zbl 0031.11502
[11] H. Weyl: Ueber die Gleichverteilung von Zahlen mod. Eins,Math. Ann.77 (1916). · JFM 46.0278.06
[12] A. Zygmund: Trigonometric Series, vol. 1, Cambridge 1959. · Zbl 0085.05601
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