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Discriminant equations in Diophantine number theory

Discriminant equations in Diophantine number theory (Loan 1 times)

Material type
단행본
Personal Author
Evertse, J. H. Györy, Kálmán, author.
Title Statement
Discriminant equations in Diophantine number theory / Jan-Hendrik Evertse, Leiden University, The Netherlands, Kálmán Győry, University of Debrecen, Hungary.
Publication, Distribution, etc
Cambridge, United Kingdom :   Cambridge University Press,   c2017.  
Physical Medium
xviii, 457 p. ; 24 cm.
Series Statement
New mathematical monographs ;32
ISBN
9781107097612 (hardcover) 1107097614 (hardcover)
Bibliography, Etc. Note
Includes bibliographical references (p. 440-453) and index.
Subject Added Entry-Topical Term
Diophantine equations. Algebraic number theory. Arithmetical algebraic geometry.
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010 ▼a 2017287147
020 ▼a 9781107097612 (hardcover)
020 ▼a 1107097614 (hardcover)
035 ▼a (KERIS)REF000018300510
040 ▼a YDX ▼b eng ▼c YDX ▼e rda ▼d BNG ▼d OCLCF ▼d SBM ▼d OCL ▼d DLC ▼d 211009
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082 0 4 ▼a 512.74 ▼2 23
084 ▼a 512.74 ▼2 DDCK
090 ▼a 512.74 ▼b E93d
100 1 ▼a Evertse, J. H.
245 1 0 ▼a Discriminant equations in Diophantine number theory / ▼c Jan-Hendrik Evertse, Leiden University, The Netherlands, Kálmán Győry, University of Debrecen, Hungary.
260 ▼a Cambridge, United Kingdom : ▼b Cambridge University Press, ▼c c2017.
300 ▼a xviii, 457 p. ; ▼c 24 cm.
490 1 ▼a New mathematical monographs ; ▼v 32
504 ▼a Includes bibliographical references (p. 440-453) and index.
650 0 ▼a Diophantine equations.
650 0 ▼a Algebraic number theory.
650 0 ▼a Arithmetical algebraic geometry.
700 1 ▼a Györy, Kálmán, ▼e author.
830 0 ▼a New mathematical monographs ; ▼v 32.
945 ▼a KLPA

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.74 E93d Accession No. 121243870 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Preface; Summary; Part I. Preliminaries: 1. Finite etale algebras over fields; 2. Dedekind domains; 3. Algebraic number fields; 4. Tools from the theory of unit equations; Part II. Monic Polynomials and Integral Elements of Given Discriminant, Monogenic Orders: 5. Basic finiteness theorems; 6. Effective results over Z; 7. Algorithmic resolution of discriminant form and index form equations; 8. Effective results over the S-integers of a number field; 9. The number of solutions of discriminant equations; 10. Effective results over finitely generated domains; 11. Further applications; Part III. Binary Forms of Given Discriminant: 12. A brief overview of the basic finiteness theorems; 13. Reduction theory of binary forms; 14. Effective results for binary forms of given discriminant; 15. Semi-effective results for binary forms of given discriminant; 16. Invariant orders of binary forms; 17. On the number of equivalence classes of binary forms of given discriminant; 18. Further applications; Glossary of frequently used notation; References; Index.


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