Arithmetic of Algebraic Curves / Edition 1

Arithmetic of Algebraic Curves / Edition 1

by Serguei A. Stepanov
ISBN-10:
0306110369
ISBN-13:
9780306110368
Pub. Date:
12/31/1994
Publisher:
Springer US
ISBN-10:
0306110369
ISBN-13:
9780306110368
Pub. Date:
12/31/1994
Publisher:
Springer US
Arithmetic of Algebraic Curves / Edition 1

Arithmetic of Algebraic Curves / Edition 1

by Serguei A. Stepanov

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Overview

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.

Product Details

ISBN-13: 9780306110368
Publisher: Springer US
Publication date: 12/31/1994
Series: Monographs in Contemporary Mathematics
Edition description: 1995
Pages: 422
Product dimensions: 6.14(w) x 9.21(h) x 0.36(d)

Table of Contents

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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