A panorama in number theory or the view from Baker's garden [EBook] / edited by Gisbert Wüstholz.
A panorama in number theory or the view from Baker's garden [EBook] / edited by Gisbert Wüstholz.
Alan 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 ce...
Personal Name(s):  Baker, Alan, (editor) 

Wüstholz, Gisbert, (editor)  
Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (xv, 356 pages) 
Note: 
englisch 
ISBN: 
9780521807999 9780511542961 
Subject (LOC):  
Full Text 
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245  0  2  a A panorama in number theory or the view from Baker's garden h [EBook] / c edited by Gisbert Wüstholz. 
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505  0  a One century of logarithmic forms / G. Wüstholz  Report on padic logarithmic forms / Kunrui Yu  Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko HirataKohno  Solving diophantine equations by Baker's theory / Kálmán Győry  Baker's method and modular curves / Yuri F. Bilu  Application of the AndrèOort 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 ABCconjecture / Dorian Goldfeld  On the algebraic independence of numbers / Yu. V. Nesterenko  Ideal lattices / Eva BayerFluckiger  Integral points and MordellWeil lattices / Tetsuji Shioda  Forty years of effective results in diophantine theory / Enrico Bombieri  Points on subvarieties of Tori / JanHendrik 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 / MingChit 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. HeathBrown.  
520  a Alan 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, algebraogeometric and analytic aspects. This volume will appeal to number theorists, algebraic geometers, and geometers with a numbertheoretic 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.  
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700  1  a Wüstholz, Gisbert, e editor  
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