Alexandru Zaharescu: Residual transcendental extensions of valuations, irreducible polynomials, and trace series over $p-$adic fields, p.125-131

Abstract:

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.

Key Words: Residual transcendental extensions, irreducible polynomials, trace series, local fields.

2000 Mathematics Subject Classification: Primary: 11S05;
Secondary: 11S80.

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