A panorama in number theory, or, The view from Baker's garden /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Baker, Alan, 1939-, Wüstholz, Gisbert
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2002.
Temas:
Number theory > Congresses.
Théorie des nombres > Congrès.
MATHEMATICS > Number Theory.
Number theory
Getaltheorie.
Zahlentheorie > Kongress > Zürich <1999>.
Festschriften
Conference papers and proceedings
Festschriften.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • One 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.

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