Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590315 | Journal of Functional Analysis | 2014 | 15 Pages |
Abstract
A new version of Montgomery's conjecture (1971) on the estimation of Dirichlet sums is disproved by means of a modification of the idea of “short sums” (due to Bourgain, 1991). We also study the distribution of the values of Dirichlet's “long sums”.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Per H. Enflo, Vladimir I. Gurariy, Juan B. Seoane-Sepúlveda,