p-adic polylogarithms and irrationality
Pierre Bel (2009)
Acta Arithmetica
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Displaying similar documents to “A characterization of rational numbers by p-adic Sylvester series expansions”
p-adic polylogarithms and irrationality
The derivative of p-adic L-functions
Lawrence Washington (1981)
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Transcendental values of the p-adic digamma function
M. Ram Murty, N. Saradha (2008)
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p-Adic regulators on curves and special values of p-adic L-functions.
Ehud de Shalit, Robert Coleman (1988)
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Arnt Volkenborn (1974)
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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.
Exact Solution of Linear Equations Using P-Adic Expansions
J.D. Dixon (1982)
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Ein p-adisches Integral und seine Anwendungen II.
Arnt Vokenborn (1974)
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The digamma function, Euler-Lehmer constants and their p-adic counterparts
T. Chatterjee, S. Gun (2014)
Acta Arithmetica
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The goal of this article is twofold. First, we extend a result of Murty and Saradha (2007) related to the digamma function at rational arguments. Further, we extend another result of the same authors (2008) about the nature of p-adic Euler-Lehmer constants.
Simultaneous diagonal equations over 𝔭-adic fields
D. Brink, H. Godinho, P. H. A. Rodrigues (2008)
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The formulas for the coefficients of the sum and product of p-adic integers with applications to Witt vectors
Kejian Xu, Zhaopeng Dai, Zongduo Dai (2011)
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