Pillars of Transcendental Number Theory
This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore
Springer Nature Singapore
2020, 2020
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| Edition: | 1st ed. 2020 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Preliminaries
- 2. e and pi are Transcendental
- 3. Theorem of Hermite-Lindemann-Weierstrass
- 4. Theorem of Gelfond and Schneider
- 5. Extensions due to Ramachandra
- 6. Diophantine Approximation and Transcendence
- 7. Roth's Theorem
- 8. Baker's Theorems and some Applications
- 9. Ground Work for the Proof of Baker's theorem
- 10. Proof of Baker's Theorem
- 11. Subspace Theorem and Some Applications