Corrections to the papers

W. Więsław

Displaying similar documents to “Corrections to the papers 'An example of a locally unbounded complete extension of the p-adic number field'' and 'On topological fields'' (Colloquium Mathematicum 30 (1974), p. 105--108, and 29 (1974), p. 119--146)”

An example of a locally unbounded complete extension of the p-adic number field

W. Więsław (1974)

Colloquium Mathematicae

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Simultaneous diagonal equations over 𝔭-adic fields

D. Brink, H. Godinho, P. H. A. Rodrigues (2008)

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The algebraic closure of a $p$ -adic number field is a complete topological field

José E. Marcos (2006)

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On Waring's Problem in p-adic fields

M. Dodson (1973)

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p-Adic L-Functions for CM Fields.

Nicholas M. Katz (1978)

Inventiones mathematicae

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Fermat's equation for matrices or quaternions over q-adic fields

Paulo Ribenboim (2004)

Acta Arithmetica

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Locally unbounded topological fields with topological nilpotents

J. E. Marcos (2002)

Fundamenta Mathematicae

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We construct some locally unbounded topological fields having topologically nilpotent elements; this answers a question of Heine. The underlying fields are subfields of fields of formal power series. In particular, we get a locally unbounded topological field for which the set of topologically nilpotent elements is an open additive subgroup. We also exhibit a complete locally unbounded topological field which is a topological extension of the field of p-adic numbers; this topological...

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Arnt Volkenborn (1974)

Mémoires de la Société Mathématique de France

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Gerlits, J.

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L. Bélair, L. Van den Dries (1988)

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The derivative of p-adic L-functions

Lawrence Washington (1981)

Acta Arithmetica

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