p-adic polylogarithms and irrationality
Pierre Bel (2009)
Acta Arithmetica
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Pierre Bel (2009)
Acta Arithmetica
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Lawrence Washington (1981)
Acta Arithmetica
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M. Ram Murty, N. Saradha (2008)
Acta Arithmetica
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Gerlits, J.
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Lassak, Marek (2002)
Beiträge zur Algebra und Geometrie
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Ehud de Shalit, Robert Coleman (1988)
Inventiones mathematicae
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Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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F. Tulone (2004)
Mathematica Bohemica
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In this paper we prove that each differentiation basis associated with a -adic path system defined by a bounded sequence satisfies the Ward Theorem.
Arnt Vokenborn (1974)
Manuscripta mathematica
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D. Brink, H. Godinho, P. H. A. Rodrigues (2008)
Acta Arithmetica
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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.