Lectures on transcendental numbers

Author(s)

• Mahler, Kurt
• Diviš, B.
• LeVeque, William Judson

Bibliographic Information

Lectures on transcendental numbers

Kurt Mahler ; edited and completed by B. Diviš and W.J. Le Veque

（Lecture notes in mathematics, 546）

Springer-Verlag, 1976

• : Berlin
• : New York

Note

Bibliography: p. [249]-254

Description and Table of Contents

Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA06812181
• ISBN:
  • 3540079866
  • 0387079866
• LCCN: 76044348
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: xxi, 254 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA247.5
  • DC : 510/.8 s
  • DC : 512/.73
• Subject Headings:
  • LCSH : Numbers, Transcendental
• Parent Bibliography ID:
  • BA00146586