000			03526nam a22003378i 4500
001			CR9780511542961
003			UkCbUP
005			20200124160320.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2002||||enk o ||1 0|eng|d
020			_a9780511542961 (ebook)
020			_z9780521807999 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA241 _b.P284 2002
082	0	4	_a512.7 _221
245	0	2	_aA panorama in number theory or the view from Baker's garden / _cedited by Gisbert Wüstholz.
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (xv, 356 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aOne century of logarithmic forms / G. Wüstholz -- Report on p-adic logarithmic forms / Kunrui Yu -- Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko Hirata-Kohno -- Solving diophantine equations by Baker's theory / Kálmán Győry -- Baker's method and modular curves / Yuri F. Bilu -- Application of the Andrè-Oort conjecture to some questions in transcendence / Paula B. Cohen & Gilbert Wüstholz -- Regular dessins, endomorphisms of Jacobians, and transcendence / Jürgen Wolfart -- Maass cusp forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture / Dorian Goldfeld -- On the algebraic independence of numbers / Yu. V. Nesterenko -- Ideal lattices / Eva Bayer-Fluckiger -- Integral points and Mordell-Weil lattices / Tetsuji Shioda -- Forty years of effective results in diophantine theory / Enrico Bombieri -- Points on subvarieties of Tori / Jan-Hendrik Evertse -- A new application of diophantine approximations / G. Faltings -- Search bounds for diophantine equations / D.W. Masser -- Regular systems, ubiquity and diophantine approximation / V.V. Beresnevich, V.I. Bernik & M.M. Dodson -- Diophantine approximation, lattices and flows on homogeneous spaces / Gregory Margulis -- On linear ternary equations with prime variables / Ming-Chit Liu & Tianze Wang -- Powers in arithmetic progression / T.N. Shorey -- On the greatest common divisor of two univariate polynomials / A. Schinzel -- Heilbronn's exponential sum and transcendence theory / D.R. Heath-Brown.
520			_aAlan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of the leaders in the subject were brought together to present an account of research in the last century as well as speculations for possible further research. The papers in this volume cover a broad spectrum of number theory including geometric, algebrao-geometric and analytic aspects. This volume will appeal to number theorists, algebraic geometers, and geometers with a number-theoretic background. However, it will also be valuable for mathematicians (in particular research students) who would like to be informed of the state of number theory at the start of the 21st century and in possible developments for the future.
650		0	_aNumber theory _vCongresses.
700	1		_aBaker, Alan, _d1939- _eeditor.
700	1		_aWüstholz, Gisbert, _eeditor.
776	0	8	_iPrint version: _z9780521807999
856	4	0	_uhttps://doi.org/10.1017/CBO9780511542961
999			_c521836 _d521834