Designing communication networks via Hilbert modular forms

Details Designing communication networks via Hilbert modular forms Designing communication networks via Hilbert modular forms

2001-06-08

arxiv.org/abs/math/0106271v1

Mathematics

Number Theory

Scientific paper

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 results in terms of Communication Networks. The work will appear in the proceedings of a NATO conference on "Applications of Algebraic Geometry to Coding Theory, Physics, and Computation", which took place in Eilat, Israel, February 25 - March 1s 2001, to be published by Kluwer.

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