From the Preface (K. Chandrasekharan, 1966): 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, who is rising seventy.
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.
Volume I includes Siegel's papers written between 1921 and 1937.
Band I.- 1. Approximation algebraischer Zahlen.- 2. Approximation algebraischer Zahlen.- 3. Darstellung total positiver Zahlen durch Quadrate.- 4. ?ber N?herungswerte algebraischer Zahlen.- 5. Ueber die Coefficienten in der Taylorschen Entwicklung rationaler Funktionen.- 6. Ueber den Thueschen Satz.- 7. Neuer Beweis f?r die Funktionalgleichung der Dedekindschen Zetafunktion.- 8. Additive Theorie der Zahlk?rper I.- 9. Bemerkungen zu einen Satz von Hamburger ?ber die Funktionalgleichung der Riemannschen Zetafunktion.- 10. ?ber die Diskriminanten total reeller K?rper.- 11. Neuer Beweis des Satzes von Minkowski ?ber lineare Formen.- 12. Additive Zahlentheorie in Zahlk?rpern.- 13. Neuer Beweis f?r die Funktionalgleichung der Dedekindschen Zetafunktion II.- 14. Additive Theorie der Zahlk?rper II.- 15. The integer solutions of the equation y2 = axn + bxn?1 + ??? + k.- 16. ?ber einige Anwendungen diophantischer Approximationen.- 17. ?ber die l(
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