2 papers
math.NT2001
Designing communication networks via Hilbert modular forms
Ron Livné
We give an explicit version of the Ramanujan-Petersson Conjecture for Hilbert Modular Forms, and deduce the "Ramanujan" property for certain cubical complexes. We reinterpret the r…
alg-geom1997
The arithmetic-geometric mean and isogenies for curves of higher genus
Ron Donagi, Ron Livne
Computation of Gauss's arithmetic-geometric mean involves iteration of a simple step, whose algebro-geometric interpretation is the construction of an elliptic curve isogenous to a…