Browsing Institutt for matematiske fag by Journals "Journal für die Reine und Angewandte Mathematik"
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On Montgomery's pair correlation conjecture: A tale of three integrals
(Peer reviewed; Journal article, 2022)We study three integrals related to the celebrated pair correlation conjecture of H. L. Montgomery. The first is the integral of Montgomery’s function F(α,T) in bounded intervals, the second is an integral introduced by ... -
Volterra operators on Hardy spaces of Dirichlet series
(Journal article; Peer reviewed, 2019)For a Dirichlet series symbol g.s/ D P n 1 bnn s , the associated Volterra operator Tg acting on a Dirichlet series f .s/ D P n 1 ann s is defined by the integral f 7! Z C1 s f .w/g0 .w/ dw: We show that Tg is a bounded ...