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On the number of elliptic curves with CM cover large algebraic fields

Gerhard Frey, Moshe Jarden (2005)

Annales de l'institut Fourier

Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between 0 and 1 or 1 and 2 they give an example where the line goes beween 2 and 3 and another one where the line goes between 3 and 4 .

Sign functions of imaginary quadratic fields and applications

Hassan Oukhaba (2005)

Annales de l’institut Fourier

We propose a definition of sign of imaginary quadratic fields. We give an example of such functions, and use it to define new invariants that are roots of the classical Ramachandra invariants. Also we introduce signed ordinary distributions and compute their signed cohomology by using Anderson's theory of double complex.

Currently displaying 61 – 80 of 98