New advances in transcendence theory

Includes bibliography and references.

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. Sprindžuk;
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.

Proceedings of Symposium on Transcendental Number Theory, held under the auspices of the London Mathematical Society at the University of Durham in July, 1986.