Arithmetic of Algebraic Curves
(Sprache: Englisch)
Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as...
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Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.
Inhaltsverzeichnis zu „Arithmetic of Algebraic Curves “
Equations over Finite Fields. Distribution of Quadratic Residues and Nonresidues. Historical Commentaries on Chapters 1 and 2. Rational Points on Algebraic Curves. The Riemann-Roch Theorem. The Riemann Hypothesis for Congruence Zetafunctions. Integral Points on Curves and Nonstandard Arithmetic. The Siegel-Mahler Theorem. Appendix: Hilbert's Tenth Problem. Index.
Bibliographische Angaben
- Autor: Serguei A. Stepanov
- 1995, 440 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer US
- ISBN-10: 0306110369
- ISBN-13: 9780306110368
- Erscheinungsdatum: 31.12.1994
Sprache:
Englisch
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