One half log discriminant

Details One half log discriminant One half log discriminant

2006-03-17

arxiv.org/abs/math/0603438v1

Mathematics

Number Theory

12 pages, 6 figures

Scientific paper

We give a geometric proof that one may compute a particular generalized
Mahler integral using equidistribution of preperiodic points of a dynamical
system on the sphere. The dynamical system is associated to the multiplication
by 2 map on an elliptic curve over a number field K with Weierstrass equation
y^2 = P(x) (a Lattes dynamical system).

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