LEADER 03891nam 2200625 450 001 996466526303316 005 20220917120405.0 010 $a3-540-44979-5 024 7 $a10.1007/3-540-44979-5 035 $a(CKB)1000000000437262 035 $a(EBL)3062182 035 $a(SSID)ssj0000322634 035 $a(PQKBManifestationID)12131937 035 $a(PQKBTitleCode)TC0000322634 035 $a(PQKBWorkID)10287440 035 $a(PQKB)10109568 035 $a(DE-He213)978-3-540-44979-9 035 $a(MiAaPQ)EBC3062182 035 $a(MiAaPQ)EBC6872903 035 $a(Au-PeEL)EBL6872903 035 $a(PPN)15522266X 035 $a(EXLCZ)991000000000437262 100 $a20220917d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiophantine approximation $electures given at the C.I.M.E. summer school held in Cetraro, Italy, June 28-July 6, 2000 /$fDavid William Masser [and four others] ; editors, F. Amoroso, U. Zannier 205 $a1st ed. 2003. 210 1$aBerlin :$cSpringer-Verlag,$d[2003] 210 4$dİ2003 215 $a1 online resource (358 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1819 300 $aDescription based upon print version of record. 311 $a3-540-40392-2 320 $aIncludes bibliographical references. 327 $aHeights, 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. 330 $aDiophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing?best?rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell?s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1819. 606 $aDiophantine approximation 615 0$aDiophantine approximation. 676 $a512.73 686 $a11Jxx$2msc 686 $a00B30$2msc 700 $aMasser$b David William$f1948-$049131 702 $aAmoroso$b F.$f1962- 702 $aZannier$b U.$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466526303316 996 $aDiophantine approximation$9262210 997 $aUNISA