Arithmetic of algebraic curves
著者
書誌事項
Arithmetic of algebraic curves
（Monographs in contemporary mathematics）
Consultants Bureau, c1994
- タイトル別名
-
Arifmetika algebraicheskikh krivykh
大学図書館所蔵 件 / 全52件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Appendix: Hilbert's tenth problem(p. 383-390)
Includes bibliographical references(p. 391-413) and index(p. 415-422)
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より