On the Zeros of Krasner Analytic Functions

Given a prime number p and a compact subset X of the topological completion ℂ p of the algebraic closure of the field of p -adic numbers, we study the set of zeros of Krasner analytic functions defined on ℙ 1 (ℂ p ) \ X with values in ℂ p .

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Veröffentlicht in:	Algebras and representation theory 2013-06, Vol.16 (3), p.895-904
Hauptverfasser:	Alexandru, Victor, Popescu, Nicolae, Vâjâitu, Marian, Zaharescu, Alexandru
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Commutative Rings and Algebras Mathematics Mathematics and Statistics Non-associative Rings and Algebras
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Beschreibung
Zusammenfassung:	Given a prime number p and a compact subset X of the topological completion ℂ p of the algebraic closure of the field of p -adic numbers, we study the set of zeros of Krasner analytic functions defined on ℙ 1 (ℂ p ) \ X with values in ℂ p .
ISSN:	1386-923X 1572-9079
DOI:	10.1007/s10468-012-9338-2