ON p-ADIC ANALYTIC CONTINUATION WITH APPLICATIONS TO GENERATING ELEMENTS

被引：3

作者：

Alexandru, Victor ^{[1
]}

Vajaitu, Marian ^{[2
]}

Zaharescu, Alexandru ^{[3
]}

机构：

[1] Univ Bucharest, Dept Math, Bucharest 010014, Romania

[2] Romanian Acad, Simion Stoilow Inst Math, Bucharest 014700, Romania

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2016年 / 59卷 / 01期

关键词：

p-adic analytic functions; local fields; generating elements; SATURATED DISTINGUISHED CHAINS; INTEGRAL BASIS; LOCAL-FIELD; C-P; METRIC INVARIANTS; VALUED FIELDS; CONSTRUCTION; POLYNOMIALS;

D O I：

10.1017/S0013091514000376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a prime number p and the Galois orbit O(T) of an integral transcendental element T of C-p, the topological completion of the algebraic closure of the field of p-adic numbers, we study the p-adic analytic continuation around O(T) of functions defined by limits of sequences of restricted power series with p-adic integer coefficients. We also investigate applications to generating elements for C-p or for some classes of closed subfields of C-p.

引用

页码：1 / 10

页数：10

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