| Dewey Class |
512.7 |
| Title |
Diophantine Approximation ([EBook]) : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000 / by David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang Schmidt, Michel Waldschmidt ; edited by Francesco Amoroso, Umberto Zannier. |
| Author |
Masser, David William , 1948- |
| Added Personal Name |
Nesterenko, Yuri V. |
| Schlickewei, Hans Peter |
| Schmidt, Wolfgang |
| Waldschmidt, Michel |
| Amoroso, Francesco |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 2003. |
| Physical Details |
XI, 356 p. 1 illus. in color. : online resource. |
| Series |
Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze 0075-8434 ; ; 1819 |
| ISBN |
9783540449799 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/3-540-44979-5 |
| Links to Related Works |
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
|
|---|
