The distribution of values of Mahler's measure

By S. J. Chern, Jeffrey D. Vaaler. 2001

66 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/6e9297c8aac385e78b46372e9785a145cdbf0501

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Martin Widmer
2. Fabrizio Barroero
3. D. Masser
4. Jeffrey D. Vaaler
5. Alexei Borodin
6. Christopher D. Sinclair
7. Jonathan Pila

In Applied Mathematics

1. Fabrizio Barroero
2. Martin Widmer
3. D. Masser
4. Jeffrey D. Vaaler
5. Alexei Borodin

Citations in the corpus

• The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (2008, background): “− s , Chern and Vaaler discovered that Z [ ψ ] ( s ) has an analytic continuation to a rational function of s with rational coefficients and poles at positive integers ≤ N [6].”
• Counting algebraic numbers with large height II (2006, methodology): “6) of [2], for a Lipschitz-type strengthening which, however, has nothing to do with our (iii) above.”
• Counting Lattice Points and O-Minimal Structures (2012, background): “The special case k = Q follows from a result of Chern and Vaaler [6] but the general result appears to be new.”
• Number Theory and Polynomials: The Mahler measure of algebraic numbers: a survey (2007, unknown): “Chern and Vaaler [44] obtained the asymptotic formula Vd+1T d+1 + Od(T ) for #(d, T ) for fixed d, as T → ∞.”