New advances in transcendence theory
Author(s)
Bibliographic Information
New advances in transcendence theory
Cambridge University Press, 2008, c1988
- : pbk
Available at 4 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"This digitally printed version 2008" -- t.p.verso
"Symposium on Transcendental Number Theory was held under the auspices of the London Mathematical Society at the University of Durham in July, 1986." -- Pre
Includes bibliographical references
Description and Table of Contents
Description
This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. Indeed, the evolution of transcendence into a fertile theory with numerous and widespread applications has been one of the most exciting developments of modern mathematics. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles. The work as a whole is an important contribution to mathematics and will be of considerable influence in the further direction of transcendence theory as well as an authoritative account of its current state.
Table of Contents
- Preface
- Contributors
- 1. On effective approximations to cubic irrationals A. Baker and C. L. Stewart
- 2. Applications of measure theory and Haudorff dimension to the theory of Diophantine approximation V. I. Bernik
- 3. Galois representations and transcendental numbers D. Bertrand
- 4. Some new results on algebraic independance of E-functions F. Beukers
- 5. Algebraic values of hypergeometric functions F. Beukers and J. Wolfart
- 6. Some new applications of an inequality of Mason B. Brindza
- 7. Aspects of the Hilbert Nullstellensatz W. D. Brownawell
- 8. On the irrationality of certain series: problems and results P. Erdoes
- 9. S-unit equations and their applications J.-H. Evertse, K. Gyoery, C. L. Stewart and R. Tijdeman
- 10. Decomposable form equations J.-H. Evertse and K. Gyoery
- 11. On Gelfond's method N. I. Feldman
- 12. On effective bounds for certain linear forms A. I. Galochkin
- 13. Automata and transcendence J. H. Loxton
- 14. The study of Diphantine equations over function fields R. C. Mason
- 15. Linear relations on algebraic groups D. W. Masser
- 16. Estimates for the number of zeros of certain functions Yu. V. Nesterenko
- 17. An applications of the S-unit theorem to modular forms on T0(N) R. W. K. Odoni
- 18. Lower bounds for linear forms in logarithms P. Philippon and M. Waldschmidt
- 19. Reducibility of lacunary polynomials, IX A. Schinzel
- 20. The number of solutions of Thue equations W. M. Schmidt
- 21. On arithmetic properties of the values of E-functions A. B. Shidlovsky
- 22. Some exponential Deiophantine equations T. N. Shorey
- 23. Arithmetic specialisations theory V. G. Sprindzuk
- 24. On the transcendence methods of Gelfond and Scheider in several variables M. Waldschmidt
- 25. A new approach to Baker's theorem on linear forms in logarithms III G. Wustholz
- 26. Linear forms in logarithms in the p-adic case Kunrui Yu.
by "Nielsen BookData"