On the p-adic height of Heegner cycles.
Jan Nekovár (1995)
Mathematische Annalen
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Displaying similar documents to “Cycles of distance-decreasing mappings in the ring of n-adic integers”
On the p-adic height of Heegner cycles.
On 2-adic orders of Stirling numbers of the second kind.
De Wannemacker, Stefan (2005)
Integers
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The derivative of p-adic L-functions
Lawrence Washington (1981)
Acta Arithmetica
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p-adic polylogarithms and irrationality
Pierre Bel (2009)
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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A p-adic behaviour of dynamical systems.
Stany De Smedt, Andrew Khrennikov (1999)
Revista Matemática Complutense
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We study dynamical systems in the non-Archimedean number fields (i.e. fields with non-Archimedean valuation). The main results are obtained for the fields of p-adic numbers and complex p-adic numbers. Already the simplest p-adic dynamical systems have a very rich structure. There exist attractors, Siegel disks and cycles. There also appear new structures such as fuzzy cycles. A prime number p plays the role of parameter of a dynamical system. The behavior of the iterations depends on...
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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Towards a General Theory of Formally ...-Adic Fields.
Serban A. Basarab (1979/80)
Manuscripta mathematica
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On generalized -adic integration
Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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p-Adic regulators on curves and special values of p-adic L-functions.
Ehud de Shalit, Robert Coleman (1988)
Inventiones mathematicae
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On -adic spaces
Gerlits, J.
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A general discrepancy estimate based on p-adic arithmetics
Peter Hellekalek (2009)
Acta Arithmetica
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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.