Volume 25, pp. 259-277, 2006.
Distribution of primes and a weighted energy problem
Igor E. Pritsker
Abstract
We discuss a recent development connecting the asymptotic
distribution of prime numbers with weighted potential theory. These
ideas originated with the Gelfond-Schnirelman method (circa 1936),
which used polynomials with integer coefficients and small sup norms
on
Full Text (PDF) [289 KB], BibTeX
Key words
distribution of prime numbers, polynomials, integer coefficients, weighted transfinite diameter, weighted capacity, potentials
AMS subject classifications
11N05, 31A15, 11C08
ETNA articles which cite this article
Vol. 25 (2006), pp. 511-525 L. Baratchart, A. Martínez-Finkelshtein, D. Jimenez, D. S. Lubinsky, H. N. Mhaskar, I. Pritsker, M. Putinar, N. Stylianopoulos, V. Totik, P. Varju, and Y. Xu: Open problems in constructive function theory |