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Einfuhrung in Die Analytische Zahlentheorie

Einfuhrung in Die Analytische Zahlentheorie (Paperback)

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Synopsis

Diese Arbeit ist eine Zusammenfassung der Vorlesung, die ich im Wintersemester 1965/66 in englischer Sprache an der E.T.H. gehalten habe. Herr J. Steinig hat sie sorgf itigst in der Vortragssprache abgefasst und ins Deutsche Gbertragen. Die Herren M. BrGhlmann, H. Leutwiler und U. Suter haben den deutschen Text freundlichst dur- gelesen und an seiner endgGltigen, stilgerechten Fassung mitgearbeitet. Ihnen allen gebGhrt mein Dank. K.C. Literaturverzeichnis 1. G.H. Hardy and E.M. Wright, "An Introduction to the Theory of Numbers," Clarendon Press, Oxford, 1954. 2. H. Rademacher, "Lectures on Elementary Number Theory," Blaisdell Publishing Company, 1964. 3. A.E. Ingham, "The Distribution of Prime Numbers," Cambridge University Press, 1932. 4. H. Weyl, "Ueber die Gleichverteilung von Zahlen mod. Eins," Math. Annalen 77, 313-352 (1916). 5. C.L. Siegel, "Ueber Gitterpunkte in Convexen K6rpern und ein damit zusammenh ngendes Extremalproblem," Acta Math. 65, 307-323 (1935). Inhaltsverzeichnis IQ Der Fundamentalsatz der elementaren Zahlentheorie. II. Kongruenzen. III. Die rationale Approximation einer irrationalen Zahl. Der Satz von Hurwitz IV. Quadratische Reste, und die Darstellbarkeit einer positiven ganzen Zahl als Summe von vier Quadraten. V Das quadratische Reziprozit tsgesetz. VI. Zahlentheoretische Funktionen und Gitterpunkte. VII. Der Satz von Chebychev ber die Verteilung der Primzahlen. VIII. Die Weylsche "Gleichverteilung von Zahlen mod I," und der Satz von Kronecker. IX. Der Satz von Minkowski ber Gitterpunkte in konvexen Bereichen. X. Der Dirichletsche Satz von den Primzahlen in einer arithmetischen Progression.

Science & MathematicsMathematics Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 01/01/1966 ISBN-13: 9783540036111  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  
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