000 03973nam a22005295i 4500
001 978-3-540-44979-9
003 DE-He213
005 20160624101820.0
007 cr nn 008mamaa
008 121227s2003 gw | s |||| 0|eng d
020 _a9783540449799
_9978-3-540-44979-9
024 7 _a10.1007/3-540-44979-5
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
082 0 4 _a512.7
_223
100 1 _aMasser, David.
_eauthor.
245 1 0 _aDiophantine Approximation
_h[electronic resource] :
_bLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000 /
_cby David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang Schmidt, Michel Waldschmidt ; edited by Francesco Amoroso, Umberto Zannier.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2003.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2003.
300 _aXI, 356 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics, Fondazione C.I.M.E., Firenze,
_x0075-8434 ;
_v1819
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aNumber Theory.
700 1 _aNesterenko, Yuri V.
_eauthor.
700 1 _aSchlickewei, Hans Peter.
_eauthor.
700 1 _aSchmidt, Wolfgang.
_eauthor.
700 1 _aWaldschmidt, Michel.
_eauthor.
700 1 _aAmoroso, Francesco.
_eeditor.
700 1 _aZannier, Umberto.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540403920
786 _dSpringer
830 0 _aLecture Notes in Mathematics, Fondazione C.I.M.E., Firenze,
_x0075-8434 ;
_v1819
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-44979-5
942 _2EBK1298
_cEBK
999 _c30592
_d30592