On the equidistribution of Hecke points

By Daniel Goldstein, Andrew Mayer. 2003

129 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b250329650428093e08a13d18c4bce4747ab52b7

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In Algebra and Number Theory

1. Nicolas Gama
2. Phong Q. Nguyen

In Discrete Mathematics and Combinatorics

1. Nicolas Gama
2. Phong Q. Nguyen

In Mathematical Physics

1. Nicolas Gama
2. Phong Q. Nguyen

Citations in the corpus

• Predicting Lattice Reduction (2008, methodology): “where M is a prime number, selected so that λ2(L) ≈ g2: to do so, notice that the projection L′ can be assumed to be random (see [13]), which gives a formula for λ1(L ′) depending simply on M .”
• BKZ 2.0: Better Lattice Security Estimates (2011, background): “It was shown in [13] that, as V grows to infinity, the uniform distribution over integer lattices of volume V converges towards the distribution of random (real) lattices of unit volume, once the integer lattice is scaled by V1/n.”