A panorama of number theory or the view from Baker's garden

Gisbert Wüstholz

372 pages, parution le 30/09/2002

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Résumé

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, 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 are interested in being informed in the state of number theory at the start of the 21st century and in possible developments for the future. Contents

One Century of Logarithmic Forms
Report on p-adic Logarithmic Forms
Recent Progress on Linear Forms in Elliptic Logarithms
Solving Diophantine Equations by Baker's Theory
Baker's Method and Modular Curves
Application of the André-Oort Conjecture to some Questions in Transcendence
Regular Dessins, Endomorphisms of Jacobians, and Transcendence
Maass Cusp Forms with Integer Coefficients
Modular Forms, Elliptic Curves and the ABC-Conjecture
On the Algebraic Independence of Numbers
Ideal Lattices
Integral Points and Mordell-Weil Lattices
Forty Years of Effective Results in Diophantine Theory
Points on Subvarieties of Tori
A New Application of Diophantine Approximations
Search Bounds for Diophantine Equations
Regular Systems, Ubiquity and Diophantine Approximation
Diophantine Approximation, Lattices and Flows on Homogeneous Spaces
On Linear Ternary Equations with Prime Variables - Baker's Constant and Vinogradov's Bound
Powers in Arithmetic Progression
On the Greatest Common Divisor of Two Univariate Polynomials, I
Heilbronn's Exponential Sum and Transcendence Theory

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Gisbert Wüstholz
Parution	30/09/2002
Nb. de pages	372
Format	15, 5 x 23, 5
Couverture	Relié
Poids	747g
Intérieur	Noir et Blanc
EAN13	9780521807999
ISBN13	978-0-521-80799-9