×

Sur l’approximation du nombre de solutions de certaines équations diophantiennes. (French) Zbl 0325.10013


MSC:

11D85 Representation problems
11P55 Applications of the Hardy-Littlewood method
11R56 Adèle rings and groups
11L03 Trigonometric and exponential sums (general theory)
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML

References:

[1] H. DAVENPORT et H. HEILBRONN , On an exponential sum (Proceedings of the London Mathematical Society, Second Series, vol. 41, 1936 , p. 449-453). Zbl 0014.25201 | JFM 62.0178.01 · Zbl 0014.25201
[2] LOO-KENG HUA , Additive Primzahltheorie , Leipzig, 1959 . Zbl 0088.25503 · Zbl 0088.25503
[3] LOO-KENG HUA , Die Abschätzung von Exponentialsummen und ihre Anwendungen in der Zahlentheorie (Enzyklopädie der mathematischen Wissenschaften, Band I, 2 Teil, Heft 13, Teil I, 1959 ). Zbl 0083.03601 · Zbl 0083.03601
[4] O. KÖRNER , Ueber Mittelwerte trigonometrischer Summen und ihre Anwendung in algebraischen Zahlkörpern (Math. Annalen, vol. 147, 1962 , p. 205-239). Zbl 0146.06002 · Zbl 0146.06002
[5] C. L. SIEGEL , Generalization of Waring’s problem to algebraic number fields (Amer. J. Math., vol. 66, 1944 , p. 122-136). MR 5,200c | Zbl 0063.07008 · Zbl 0063.07008
[6] A. WEIL , Sur certains groupes d’opérateurs unitaires (Acta Mathematica, vol. 111, 1964 , p. 143-211). MR 29 #2324 | Zbl 0203.03305 · Zbl 0203.03305
[7] A. WEIL , Sur la formule de Siegel dans la théorie des groupes classiques (Acta Mathematica, vol. 113, 1965 , p. 1-87). MR 36 #6421 | Zbl 0161.02304 · Zbl 0161.02304
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.