E-Book, Englisch, Band 546, 254 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Mahler / Divis / LeVeque Lectures on Transcendental Numbers
Erscheinungsjahr 2006
ISBN: 978-3-540-37981-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 546, 254 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-37981-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Weitere Infos & Material
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.