Residual transcendental extensions of valuations, irreducible polynomials, and trace series over p-adic fields

被引：0

作者：

Zaharescu, Alexandru ^{[1
]}

机构：

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

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2013年 / 56卷 / 01期

关键词：

Residual transcendental extensions; irreducible polynomials; trace series; local fields; SATURATED DISTINGUISHED CHAINS; METRIC INVARIANTS; CONSTRUCTION; THEOREM; ELEMENTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we survey some results related to residual transcendental extensions of valuations, irreducible polynomials over a local field, and trace series associated to suitable transcendental elements over p-adic fields.

引用

页码：125 / 131

页数：7

共 32 条

[1] The Behavior of Rigid Analytic Functions Around Orbits of Elements of Cp [J].

Achimescu, S. ;

Alexandru, V. ;

Popescu, N. ;

Vajaitu, M. ;

Zaharescu, A. .

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2012, 127 :193-211

[2]

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

[3] Representation Results for Equivariant Rigid Analytic Functions [J].

Alexandru, V. ;

Popescu, N. ;

Vajaitu, M. ;

Zaharescu, A. .

ALGEBRAS AND REPRESENTATION THEORY, 2012, 15 (01) :137-145

[4] On the iwasawa algebra associated to a normal element of a", p [J].

Alexandru, V. ;

Popescu, N. ;

Vajaitu, M. ;

Zaharescu, A. .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2010, 120 (01) :45-55

[5] A THEOREM OF CHARACTERIZATION OF RESIDUAL TRANSCENDENTAL EXTENSIONS OF A VALUATION [J].

ALEXANDRU, V ;

POPESCU, N ;

ZAHARESCU, A .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1988, 28 (04) :579-592

[6] MINIMAL PAIRS OF DEFINITION OF A RESIDUAL TRANSCENDENTAL EXTENSION OF A VALUATION [J].

ALEXANDRU, V ;

POPESCU, N ;

ZAHARESCU, A .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1990, 30 (02) :207-225

[7] Trace on Cp [J].

Alexandru, V ;

Popescu, N ;

Zaharescu, A .

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

[8] ALL VALUATIONS ON K(X) [J].

ALEXANDRU, V ;

POPESCU, N ;

ZAHARESCU, A .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1990, 30 (02) :281-296

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

Alexandru, V ;

Popescu, N ;

Zaharescu, A .

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

[10]

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

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