Serguei A. Stepanov

Arithmetic of Algebraic Curves

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Monographs in Contemporary Mathematics
• Verlag: Springer / Springer US / Springer, Berlin
• Artikelnr. des Verlages: 978-0-306-11036-8
• 1995
• Seitenzahl: 440
• Erscheinungstermin: 31. Dezember 1994
• Englisch
• Abmessung: 241mm x 160mm x 29mm
• Gewicht: 818g
• ISBN-13: 9780306110368
• ISBN-10: 0306110369
• Artikelnr.: 22402577

Inhaltsangabe

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.