On 2-adic orders of Stirling numbers of the second kind.
De Wannemacker, Stefan (2005)
Integers
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Displaying similar documents to “Palindromic squares for various number system bases”
On 2-adic orders of Stirling numbers of the second kind.
Non-Unimodularity
Bernd Sing (2009)
Actes des rencontres du CIRM
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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)
Acta Arithmetica
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p-adic polylogarithms and irrationality
Pierre Bel (2009)
Acta Arithmetica
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The derivative of p-adic L-functions
Lawrence Washington (1981)
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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On generalized -adic integration
Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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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.
P-adic root isolation.
Thomas Sturm, Volker Weispfenning (2004)
RACSAM
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We present an implemented algorithmic method for counting and isolating all p-adic roots of univariate polynomials f over the rational numbers. The roots of f are uniquely described by p-adic isolating balls, that can be refined to any desired precision; their p-adic distances are also computed precisely. The method is polynomial space in all input data including the prime p. We also investigate the uniformity of the method with respect to the coefficients of f and the primes p. Our...