A Kummer criterion for imaginary quadratic fields
Rodney I. Yager (1982)
Compositio Mathematica
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Rodney I. Yager (1982)
Compositio Mathematica
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John L. Boxall (1986)
Annales de l'institut Fourier
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In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
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...
John L. Boxall (1986)
Annales de l'institut Fourier
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The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of , some results on -adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group , and which they used to construct -adic -functions.
Ken Kamano (2010)
Acta Arithmetica
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Greg W. Anderson (1982)
Compositio Mathematica
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Warren M. Sinnott (1984)
Compositio Mathematica
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J. Coates (1969)
Acta Arithmetica
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