Lectures on transcendental numbers

著者

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

書誌事項

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

注記

Bibliography: p. [249]-254

内容説明・目次

目次

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.

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詳細情報

• NII書誌ID(NCID): BA06812181
• ISBN:
  • 3540079866
  • 0387079866
• LCCN: 76044348
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; New York
• ページ数/冊数: xxi, 254 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA3
  • LCC : QA247.5
  • DC : 510/.8 s
  • DC : 512/.73
• 件名:
  • LCSH : Numbers, Transcendental
• 親書誌ID:
  • BA00146586