A characterization of rational numbers by p-adic Sylvester series expansions
Vichian Laohakosol, Narakorn Rompurk Kanasri (2007)
Acta Arithmetica
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Vichian Laohakosol, Narakorn Rompurk Kanasri (2007)
Acta Arithmetica
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De Wannemacker, Stefan (2005)
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Melham, R.S. (2009)
Journal of Integer Sequences [electronic only]
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Bernd Sing (2009)
Actes des rencontres du CIRM
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Pierre Bel (2009)
Acta Arithmetica
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Arnt Volkenborn (1974)
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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.
Kejian Xu, Zhaopeng Dai, Zongduo Dai (2011)
Acta Arithmetica
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John Coates (1988-1989)
Séminaire Bourbaki
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Lawrence Washington (1981)
Acta Arithmetica
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Lengyel, Tamás (2007)
Integers
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