The Behavior of Rigid Analytic Functions Around Orbits of Elements of Cp

被引：2

作者：

Achimescu, S. ^{[1
]}

Alexandru, V. ^{[2
]}

Popescu, N. ^{[1
]}

Vajaitu, M. ^{[1
]}

Zaharescu, A. ^{[1
,3
]}

机构：

[1] Romanian Acad Res Unit 5, Simion Stoilov Inst Math, RO-014700 Bucharest, Romania

[2] Univ Bucharest, Dept Math, Bucharest, Romania

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

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2012年 / 127卷

关键词：

FIELDS;

D O I：

10.4171/RSMUP/127-10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a prime number p and the Galois orbit O(x) of an element x of C-p, the topological completion of the algebraic closure of the field of p-adic numbers, we study the behavior of rigid analytic functions around orbits of elements of C-p.

引用

页码：193 / 211

页数：19

共 19 条

[1]

Alexandru V, 2007, REND SEMIN MAT U PAD, V118, P197

[2] Trace on Cp [J].

Alexandru, V ;

Popescu, N ;

Zaharescu, A .

JOURNAL OF NUMBER THEORY, 2001, 88 (01) :13-48

[3] On the closed subfields of Cp [J].

Alexandru, V ;

Popescu, N ;

Zaharescu, A .

JOURNAL OF NUMBER THEORY, 1998, 68 (02) :131-150

[4]

ALEXANDRU V., 2003, J THEOR NOMBR BORDX, V15, P639

[5]

ALEXANDRU V, 2004, P ROMANIAN ACAD A, V5, P117

[6]

ALEXANDRU V., 2005, Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci., V6, P11

[7]

Amice Y., 1975, Les Nombres p-adiques

[8]

[Anonymous], 1967, Algebraic numbers and algebraic functions

[9]

[Anonymous], 1981, GEOMETRIE ANAL RIGID

[10] ZEROS OF POLYNOMIALS OVER LOCAL FIELDS - GALOIS ACTION [J].

AX, J .

JOURNAL OF ALGEBRA, 1970, 15 (03) :417-&

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