-adic -functions attached to characters of -power order
Kenneth A. Ribet (1977-1978)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Kenneth A. Ribet (1977-1978)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Zhi-Wei Sun (2011)
Acta Arithmetica
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Alain Robert, Maxime Zuber (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Matija Kazalicki (2011)
Acta Arithmetica
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Arnt Volkenborn (1974)
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John B. Cosgrave, Karl Dilcher (2010)
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Manuel Ladra, Bakhrom Omirov, Utkir Rozikov (2013)
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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.
Winfried Kohnen (1988)
Mathematische Annalen
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John Coates (1988-1989)
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Lawrence Washington (1981)
Acta Arithmetica
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