L-series and their 2-adic valuations at s = 1 attached to CM elliptic curves
Derong Qiu, Xianke Zhang (2002)
Acta Arithmetica
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Derong Qiu, Xianke Zhang (2002)
Acta Arithmetica
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Marko Tadic (1990)
Journal für die reine und angewandte Mathematik
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Stephen Lichtenbaum (1980)
Inventiones mathematicae
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Karl Rubin (1992)
Inventiones mathematicae
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Colmez, Pierre (1998)
Documenta Mathematica
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Ulrich Schmitt (2015)
Acta Arithmetica
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The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by , good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller...
Allen Moy (1986)
Journal für die reine und angewandte Mathematik
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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D. Keys (1982)
Mathematische Annalen
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John Coates (1988-1989)
Séminaire Bourbaki
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M. J. Razar (1980)
Mémoires de la Société Mathématique de France
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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.
Ehud de Shalit (1995)
Inventiones mathematicae
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