Title: Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics)
Publisher: Springer
Publication Date: 1994
Language: English
ISBN 10: 0306110369
ISBN 13: 9780306110368
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

Synopsis

Deals with the theory of equations in two variables and arithmetic, algebraic-geometric, and logical aspects of the problem. Covers equations over finite fields, distribution of quadratic residues and nonresidues, the Riemann-Roch theorem, integral points on curves, the Siegel-Mahler theorem, and Hilbert's tenth problem. Annotation copyright Book N

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