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From the Preface by K. Chandrasekharan: "The publication of this collection of papers is intended as a service to the mathematical community, as well as a tribute to the genius of CARL LUDWIG SIEGEL. In the wide range of his interests, in his capacity to uncover, to attack, and to subdue problems of great significance and difficulty, in his invention of new concepts and ideas, in his technical prowess, and in the consummate artistry of his presentation, SIEGEL resembles the classical figures of mathematics. In his combination of arithmetical, analytical, algebraical, and geometrical methods of investigation, and in his unerring instinct for the conceptual and structural, as distinct from the merely technical, aspects of any concrete problem, he represents the best type of modern mathematical thought. At once classical and modern, his work has profoundly influenced the mathematical culture of our time... this publication...will no doubt stimulate generations of scholars to come." Volume III collects Siegel´s papers from 1945 to 1964.
Inhaltsverzeichnis
Band IV.- 83. Zu den Beweisen des Vorbereitungssatzes von Weierstraß.- 84. Bernoullische Polynome und quadratische Zahlkörper.- 85. Zum Beweise des Starkschen Satzes.- 86. Über die Fourierschen Koeffizienten von Eisensteinschen Reihen der Stufe T.- 87. Erinnerungen an Frobenius.- 88. Abschätzung von Einheiten.- 89. Berechnung von Zetafunktionen an ganzzahligen Stellen.- 90. Über die Fourierschen Koeffizienten von Modulformen.- 91. Einige Erläuterungen zu Thues Untersuchungen über Annäherungswerte algebraischer Zahlen und diophantische Gleichungen.- 92. Algebraische Abhängigkeit von Wurzeln.- 93. Über Moduln Abelscher Funktionen.- 94. Periodische Lösungen von Differentialgleichungen.- 95. Wurzeln Heckescher Zetafunktionen.- 96. Zur Theorie der quadratischen Formen.- 97. Normen algebraischer Zahlen.- 98. Beitrag zum Problem der Stabilität.- 99. Zur Summation von L-Reihen.- Vorwort "Zur Reduktionstheorie quadratischer Formen".- Vollständige Liste aller Titel (Bd. I - Bd. IV).- Titel aller Bücher und Vorlesungsausarbeitungen.- Berichtigungen und Bemerkungen, Bd. I - Bd. III betreffend.- Nachwort.
Zusammenfassung
From the Preface by K. Chandrasekharan: "The publication of this collection of papers is intended as a service to the mathematical community, as well as a tribute to the genius of CARL LUDWIG SIEGEL. In the wide range of his interests, in his capacity to uncover, to attack, and to subdue problems of great significance and difficulty, in his invention of new concepts and ideas, in his technical prowess, and in the consummate artistry of his presentation, SIEGEL resembles the classical figures of mathematics. In his combination of arithmetical, analytical, algebraical, and geometrical methods of investigation, and in his unerring instinct for the conceptual and structural, as distinct from the merely technical, aspects of any concrete problem, he represents the best type of modern mathematical thought. At once classical and modern, his work has profoundly influenced the mathematical culture of our time... this publication...will no doubt stimulate generations of scholars to come." Volume III collects Siegel´s papers from 1945 to 1964.
