Diophantine approximation : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28-July 6, 2000

Author(s)

• C.I.M.E. Summer School
• Masser, David William
• Amoroso, Francesco
• Zannier, U. (Umberto)
• Zecca, P. (Pietro)

Bibliographic Information

Diophantine approximation : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28-July 6, 2000

D. Masser ... [et al.] ; editors, F. Amoroso, U. Zannier

（Lecture notes in mathematics, 1819 . Fondazione C.I.M.E., Firenze / adviser, Pietro Zecca）

Springer, c2003

Other Title

Diophantine approximation : Cetraro, Italy 2000

Note

Includes bibliographical references

Description and Table of Contents

Description

Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing"best"rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell's equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.

Table of Contents

Heights, Transcendence, and Linear Independence on Commutative Group Varieties.- Linear Forms in Logarithms of Rational Numbers.- Approximation of Algebraic Numbers.- Linear Recurrence Sequences.- Linear Independence Measures for Logarithms of Algebraic Numbers.

by "Nielsen BookData"

Details

• NCID: BA62893995
• ISBN:
  • 3540403922
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: xi, 351 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00146586