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The Ball and Some Hilbert Problems Book

The Ball and Some Hilbert Problems
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The Ball and Some Hilbert Problems, The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of , The Ball and Some Hilbert Problems
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  • The Ball and Some Hilbert Problems
  • Written by author Rolf-Peter Holzapfel
  • Published by Birkhauser, 1994/12/01
  • The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of
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Authors

Preface
1 Elliptic Curves, the Finiteness Theorem of Shafarevic 1
2 Picard Curves 11
3 Uniformizations and Differential Equations of Euler-Picard Type 39
4 Algebraic Values of Picard Modular Theta Functions 65
5 Transcendental Values of Picard Modular Theta Constants 101
6 Arithmetic Surfaces of Kodaira-Picard Type and some Diophantine Equations 119
7 Appendix I A Finiteness Theorem for Picard Curves with Good Reduction 133
8 Appendix II The Hilbert Problems 7, 12, 21 and 22 145
Basic Notations 149
Bibliography 151
Index 157


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The Ball and Some Hilbert Problems, The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of , The Ball and Some Hilbert Problems

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The Ball and Some Hilbert Problems, The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of , The Ball and Some Hilbert Problems

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The Ball and Some Hilbert Problems, The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of , The Ball and Some Hilbert Problems

The Ball and Some Hilbert Problems

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