An example of a locally unbounded complete extension of the p-adic number field
W. Więsław (1974)
Colloquium Mathematicae
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Displaying similar documents to “The algebraic closure of a -adic number field is a complete topological field”
An example of a locally unbounded complete extension of the p-adic number field
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D. Brink, H. Godinho, P. H. A. Rodrigues (2008)
Acta Arithmetica
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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)
W. Więsław (1976)
Colloquium Mathematicae
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On generalized -adic integration
Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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p-Adic L-Functions for CM Fields.
Nicholas M. Katz (1978)
Inventiones mathematicae
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The p-adic Topology on a Free Group: A Counterexample.
James Howie (1984)
Mathematische Zeitschrift
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p-adic polylogarithms and irrationality
Pierre Bel (2009)
Acta Arithmetica
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Transcendental values of the p-adic digamma function
M. Ram Murty, N. Saradha (2008)
Acta Arithmetica
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The derivative of p-adic L-functions
Lawrence Washington (1981)
Acta Arithmetica
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Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
Manuel Ladra, Bakhrom Omirov, Utkir Rozikov (2013)
Open Mathematics
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We study the p-adic equation x q = a over the field of p-adic numbers. We construct an algorithm which gives a solvability criteria in the case of q = p m and present a computer program to compute the criteria for any fixed value of m ≤ p − 1. Moreover, using this solvability criteria for q = 2; 3; 4; 5; 6, we classify p-adic 6-dimensional filiform Leibniz algebras.
Fermat's equation for matrices or quaternions over q-adic fields
Paulo Ribenboim (2004)
Acta Arithmetica
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