Lectures on transcendental numbers
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
546 |
| 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: | • Lectures on transcendental numbers, Kurt Mahler, 1976, Berlin, Springer, 1 volume (XXI-254 p.), Lecture notes in mathematics, 0-387-07986-6 • Lectures on Transcendental Numbers, Texte imprimé, 9783662211335 |
Inhaltsangabe:
- Existence and first properties of transcendental numbers
- Convergent laurent series and formal laurent series
- First results on the values of analytic functions at algebraic points
- Linear differental equations: The lemmas of Shidlovski
- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points
- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions
- Applications of Shidlovski's main theorems to special functions
- Formal power series as solutions of algebraic differential equations.