The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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. Erdös 9. S-unit equations and their applications J.-H. Evertse, K. Györy, C. L. Stewart and R. Tijdeman 10. Decomposable form equations J.-H. Evertse and K. Györy 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. Sprinduk 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. Wüstholz 26. Linear forms in logarithms in the p-adic case Kunrui Yu.
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. Erdös 9. S-unit equations and their applications J.-H. Evertse, K. Györy, C. L. Stewart and R. Tijdeman 10. Decomposable form equations J.-H. Evertse and K. Györy 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. Sprinduk 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. Wüstholz 26. Linear forms in logarithms in the p-adic case Kunrui Yu.
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