302 citations
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math.NT2012★ 8 cited
Linear Algebra over Z_p[[u]] and related rings
Xavier Caruso, David Lubicz
Let R be a complete discrete valuation ring, S=R[[u]] and n a positive integer. The aim of this paper is to explain how to compute efficiently usual operations such as sum and inte…
math.NT2008★ 49 cited
Elliptic periods for finite fields
Jean-Marc Couveignes, Reynald Lercier
We construct two new families of basis for finite field extensions. Basis in the first family, the so-called elliptic basis, are not quite normal basis, but they allow very fast Fr…
math.NT2006
Higher dimensional 3-adic CM construction
R. Carls, D. Kohel, D. Lubicz
We find equations for the higher dimensional analogue of the modular curve X_0(3) using Mumford's algebraic formalism of algebraic theta functions. As a consequence, we derive a me…