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Problème de Waring avec exposants non entiers. (French) Zbl 0292.10038


MSC:

11P55 Applications of the Hardy-Littlewood method
11D85 Representation problems
11D72 Diophantine equations in many variables
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References:

[1] DESHOUILLERS (J. M.) . - Un problème binaire en théorie additive , Acta Arithm., Warszawa, t. 25, fasc. 4, p. 393-403. MR 49 #4960 | Zbl 0278.10020 · Zbl 0278.10020
[2] ERDÖS (P.) et TURÁN (P.) . - On a problem in the theory of uniform distribution , I, II, Indag. Math., Amsterdam, t. 10, 1948 , p. 370-378 et 406-413. Zbl 0031.25402 · Zbl 0031.25402
[3] KOKSMA (J. F.) . - The theory of asymptotic distribution modulo 1 , Nuffic international summer session in Science [ 1962 , Breukelen], p. 1-22. - Groningen, P. Noordhoff, 1964 ; et Comp. Math., Groningen, t. 16, 1964 , p. 1-22. Numdam | Zbl 0131.29202 · Zbl 0131.29202
[4] SEGAL (B. I.) . - Théorème de Waring pour les exposants fractionnaires et irrationnels [en russe], Trudy Mat. Inst. Steklova, t. 5, 1933 , p. 73-86. JFM 60.0941.02 · JFM 60.0941.02
[5] VINOGRADOV (I. M.) . - The method of trigonometrical sums in the theory of numbers . - London, Interscience Publishers, 1954 . Zbl 0055.27504 · Zbl 0055.27504
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