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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 (1회 대출)

자료유형
단행본
개인저자
Waldschmidt, Michel, 1946-
서명 / 저자사항
Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables / Michel Waldschmidt.
발행사항
Berlin ;   New York :   Springer,   c2000.  
형태사항
xxiii, 633 p. ; 24 cm.
총서사항
Grundlehren der mathematischen Wissenschaften, 0072-7830 ; 326
ISBN
3540667857 (alk. paper)
서지주기
Includes bibliographical references (p. [615]-627) and index.
일반주제명
Diophantine approximation. Linear algebraic groups.
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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.

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 512.73 W168d 등록번호 111181375 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.73 W168d 등록번호 121053760 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 512.73 W168d 등록번호 111181375 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.73 W168d 등록번호 121053760 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

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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