Value distribution in p-adic analysis

著者

• Escassut, Alain

書誌事項

Value distribution in p-adic analysis

Alain Escassut

World Scientific, c2016

注記

Bibliography: p. 523-532

内容説明・目次

内容説明

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB20751630
• ISBN:
  • 9789814730105
• LCCN: 2015035155
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: xiii, 544 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA241
  • DC23 : 512.7/4
• 件名:
  • LCSH : p-adic numbers
  • LCSH : p-adic analysis
  • LCSH : Distribution (Probability theory)