New Advances in Transcendence Theory

doi:10.1017/CBO9780511897184

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New Advances in Transcendence Theory

New Advances in Transcendence Theory

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Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Holzapfel, R.‐P. 1993. Transcendental Ball Points of Algebraic Picard Integrals. Mathematische Nachrichten, Vol. 161, Issue. 1, p. 7.

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Everest, G.R. 1995. Estimating Mahler's measure. Bulletin of the Australian Mathematical Society, Vol. 51, Issue. 1, p. 145.

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Bennett, Michael A. 1997. Effective measures of irrationality for certain algebraic numbers. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Vol. 62, Issue. 3, p. 329.

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Fuchs, Clemens Pethő, Attila and Tichy, Robert 2003. On the Diophantine equation 𝐺_{𝑛}(𝑥)=𝐺_{𝑚}(𝑃(𝑥)): Higher-order recurrences. Transactions of the American Mathematical Society, Vol. 355, Issue. 11, p. 4657.

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Schlickewei, Hans Peter 2008. Diophantine Approximation. Vol. 16, Issue. , p. 1.

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Hirata-Kohno, Noriko and Noriko, Hirata-Kohno 2021. Diophantine approximation. Sugaku Expositions, Vol. 34, Issue. 2, p. 205.

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Edited by Alan Baker

Publisher:: Cambridge University Press
Online publication date:: January 2012
Print publication year:: 1988
Online ISBN:: 9780511897184
DOI:: https://doi.org/10.1017/CBO9780511897184

Subjects:: Mathematics, Number Theory, Algebra

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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.

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New Advances in Transcendence Theory

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-x

Contributors
pp xi-xii

1 - On effective approximations to cubic irrationals
pp 1-24

2 - Applications of measure theory and Hausdorff dimension to the theory of Diophantine approximation
pp 25-36

3 - Galois representations and transcendental numbers
pp 37-55

4 - Some new results on algebraic independence of E-functions
pp 56-67

5 - Algebraic values of hypergeometric functions
pp 68-81

6 - Some new applications of an inequality of Mason
pp 82-89

7 - Aspects of the Hilbert Nullstellensatz
pp 90-101

8 - On the irrationality of certain series: problems and results
pp 102-109

9 - S-unit equations and their applications
pp 110-174

10 - Decomposable form equations
pp 175-202

11 - On Gelfond's method
pp 203-206

12 - On effective bounds for certain linear forms
pp 207-214

13 - Automata and transcendence
pp 215-228

14 - The study of Diophantine equations over function fields
pp 229-247

15 - Linear relations on algebraic groups
pp 248-262

16 - Estimates for the number of zeros of certain functions
pp 263-269

17 - An application of the S-unit theorem to modular forms on Γ0(N)
pp 270-279

18 - Lower bounds for linear forms in logarithms
pp 280-312

19 - Reducibility of lacunary polynomials, IX
pp 313-336

20 - The number of solutions of Thue equations
pp 337-346

21 - On arithmetic properties of the values of E-functions
pp 347-351

22 - Some exponential Diophantine equations
pp 352-365

23 - Arithmetic specializations theory
pp 366-374

24 - On the transcendence methods of Gelfond and Schneider in several variables
pp 375-398

25 - A new approach to Baker's theorem on linear forms in logarithms III
pp 399-410

26 - Linear forms in logarithms in the p-adic case
pp 411-434

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New Advances in Transcendence Theory

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