Arithmetic of Algebraic Curves

Gebonden Engels 1994 1995e druk 9780306110368
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Samenvatting

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.

Specificaties

ISBN13:9780306110368
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:422
Uitgever:Springer US
Druk:1995

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Inhoudsopgave

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.

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€ 420,99
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          Arithmetic of Algebraic Curves