Arithmetic of Algebraic Curves
Published on 31. December 1994
Book
Hardback
XIV, 422 pages
978-0-306-11036-8 (ISBN)
Description
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.
More details
Series
Edition
1995 ed.
Language
English
Place of publication
New York
United States
Publishing group
Springer Science+Business Media
Target group
Professional and scholarly
Research
Illustrations
XIV, 422 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 29 mm
Weight
822 gr
ISBN-13
978-0-306-11036-8 (9780306110368)
Schweitzer Classification
Content
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.