Description 
1 online resource (xv, 356 pages, portrait) 
Contents 
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 
Summary 
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 
Notes 
Contains papers presented at a conference held in Zürich in 1999 to mark the 60th birthday of Alan Baker 
Bibliography 
Includes bibliographical references 
Notes 
English 

Print version record 
Subject 
Number theory  Congresses


MATHEMATICS  Number Theory.


Number theory


Getaltheorie.


Zahlentheorie  Kongress  Zürich <1999>.

Genre/Form 
Electronic book


Festschriften


Conference papers and proceedings


Festschriften.

Form 
Electronic book

Author 
Baker, Alan, 1939


Wüstholz, Gisbert

LC no. 
2002726998 
ISBN 
0511063903 

9780511063909 

0511072368 

9780511072369 

9780521807999 

0521807999 

1107131561 

9781107131569 

1280415177 

9781280415173 

9786610415175 

661041517X 

0511179766 

9780511179761 

1139147447 

9781139147446 

0511057571 

9780511057571 

0511330847 

9780511330841 

0511542968 

9780511542961 
