Article ID Journal Published Year Pages File Type
4590315 Journal of Functional Analysis 2014 15 Pages PDF
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”.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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