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Arithmetic of algebraic curves

Author: S A Stepanov
Publisher: New York : Consultants Bureau, ©1994.
Series: Monographs in contemporary mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Written in a clear manner, this text does not require readers to have special  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S A Stepanov
ISBN: 0306110369 9780306110368
OCLC Number: 31655897
Description: xii, 422 pages : illustrations ; 26 cm.
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 zeta-functions --
Integral points on curves and nonstandard arithmetic --
The Siegel-Mahler theorem --
Hilbert's tenth problem.
Series Title: Monographs in contemporary mathematics.
Other Titles: Arifmetika algebraicheskikh krivykh.
Responsibility: Serguei A. Stepanov ; translated fom Russian by Irene Aleksanova.
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