VALUE DISTRIBUTION IN P-ADIC ANALYSIS - Hardcover

Escassut Alain

Hardcover

ISBN 10: 9814730106 ISBN 13: 9789814730105

Verlag: World Scientific, 2015

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: World Scientific
• Erscheinungsdatum: 2015
• Sprache: Englisch
• ISBN 10: 9814730106
• ISBN 13: 9789814730105
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 560
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Deutschland