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Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables

Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables (Loan 1 times)

Material type
단행본
Personal Author
Waldschmidt, Michel, 1946-
Title Statement
Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables / Michel Waldschmidt.
Publication, Distribution, etc
Berlin ;   New York :   Springer,   c2000.  
Physical Medium
xxiii, 633 p. ; 24 cm.
Series Statement
Grundlehren der mathematischen Wissenschaften, 0072-7830 ; 326
ISBN
3540667857 (alk. paper)
Bibliography, Etc. Note
Includes bibliographical references (p. [615]-627) and index.
Subject Added Entry-Topical Term
Diophantine approximation. Linear algebraic groups.
000 01002pamuu2200265 a 4500
001 000000697573
005 20010807143012
008 000426s2000 gw 001 0 eng
010 ▼a 00032967
020 ▼a 3540667857 (alk. paper)
040 ▼a DLC ▼c DLC ▼d 211009
042 ▼a pcc
049 1 ▼l 111181375 ▼l 121053760 ▼f 과학
050 0 0 ▼a QA242 ▼b .W35 2000
082 0 0 ▼a 512/.73 ▼2 21
090 ▼a 512.73 ▼b W168d
100 1 ▼a Waldschmidt, Michel, ▼d 1946-
245 1 0 ▼a Diophantine approximation on linear algebraic groups : ▼b transcendence properties of the exponential function in several variables / ▼c Michel Waldschmidt.
260 ▼a Berlin ; ▼a New York : ▼b Springer, ▼c c2000.
300 ▼a xxiii, 633 p. ; ▼c 24 cm.
440 0 ▼a Grundlehren der mathematischen Wissenschaften, ▼x 0072-7830 ; ▼v 326
504 ▼a Includes bibliographical references (p. [615]-627) and index.
650 0 ▼a Diophantine approximation.
650 0 ▼a Linear algebraic groups.

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No. 1 Location Main Library/Western Books/ Call Number 512.73 W168d Accession No. 111181375 Availability Available Due Date Make a Reservation Service B M
No. 2 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.73 W168d Accession No. 121053760 Availability Available Due Date Make a Reservation Service B M
No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/Western Books/ Call Number 512.73 W168d Accession No. 111181375 Availability Available Due Date Make a Reservation Service B M
No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.73 W168d Accession No. 121053760 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

1. Introduction and Historical Survey Part I. Linear Independence of Logarithms of Algebraic Numbers 2. Transcendence Proofs in One Variable 3. Heights of Algebraic Numbers 4. The Criterion of Schneider-Lang 5. Zero Estimate 6. Linear Independence of Logarithms of Algebraic Numbers Part II. Measures of Linear Independence 7. A First Measure with a Simple Proof 8. Zero Estimate (Continued), by Damien ROY 9. Refined Measure III. Multiplicities in Higher Dimension 10. Multiplicity Estimates, by Damien ROY 11. Interpolation Determinants with One Derivative 12. On Baker's Method Part IV. The Linear Subgroup Theorem 13. Points Whose Coordinates are Logarithms of Algebraic Numbers 14. Lower Bounds for the Rank of Matrices Part V. Simultaneous Approximation of Values of the Exponential Function in Several Variables 15. A Quantitative Version of the Linear Subgroup Theorem 16. Applications to Diophantine Approximation 17. Algebraic Independence References


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