A Panorama of Number Theory or The View from Baker's Garden (Relié)

Gisbert Wüstholz

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  • Cambridge University Press

  • Paru le : 01/01/2002
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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.
    • 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
  • Date de parution : 01/01/2002
  • Editeur : Cambridge University Press
  • ISBN : 0-521-80799-9
  • EAN : 9780521807999
  • Présentation : Relié
  • Nb. de pages : 356 pages
  • Poids : 0.755 Kg
  • Dimensions : 16,0 cm × 23,5 cm × 2,0 cm

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