Arithmetic of Algebraic Curves

Serguei A. Stepanov

ISBN 10: 0306110369 / ISBN 13: 9780306110368

Editore: Springer US Dez 1994, 1994

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 440 pp. Englisch.

Codice articolo 9780306110368

Dati bibliografici

• Titolo: Arithmetic of Algebraic Curves
• Editore: Springer US Dez 1994
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 0306110369
• ISBN 13: 9780306110368
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 29 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 29 millimetri di profondità
• Peso: 822 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.