Introduction to Algebraic Independence Theory
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebrai...
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| Weitere Verfasser: | , |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1752 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to algebraic independence theory, Yuri V. Nesterenko, Patrice Philippon, eds., 2001, Berlin, Springer, 1 vol. (XIII- 256 p.), Lecture notes in mathematics, 3-540-41496-7 • Introduction to Algebraic Independence Theory, Texte imprimé, 9783662183724 |
Inhaltsangabe:
- ?(?, z) and Transcendence
- Mahler s conjecture and other transcendence Results
- Algebraic independence for values of Ramanujan Functions
- Some remarks on proofs of algebraic independence
- Elimination multihomogene
- Diophantine geometry
- Géométrie diophantienne multiprojective
- Criteria for algebraic independence
- Upper bounds for (geometric) Hilbert functions
- Multiplicity estimates for solutions of algebraic differential equations
- Zero Estimates on Commutative Algebraic Groups
- Measures of algebraic independence for Mahler functions
- Algebraic Independence in Algebraic Groups. Part 1: Small Transcendence Degrees
- Algebraic Independence in Algebraic Groups. Part II: Large Transcendence Degrees
- Some metric results in Transcendental Numbers Theory
- The Hilbert Nullstellensatz, Inequalities for Polynomials, and Algebraic Independence.