Blar i Institutt for matematiske fag på forfatter "Carneiro, Emanuel"

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    • On Montgomery's pair correlation conjecture: A tale of three integrals 

      Carneiro, Emanuel; Chandee, Vorrapan; Chirre, Andrés; Milinovich, Micah B. (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 ...

    • Optimality for the two-parameter quadratic sieve 

      Carneiro, Emanuel; Helfgott, Harald Andrés; Chirre, Andrés; Mejía-Cordero, Julián (Peer reviewed; Journal article, 2022)
      We study the two-parameter quadratic sieve for an arbitrary smoothing function. We prove, under some very general assumptions, that the function considered by Barban and Vekhov (1968) and Graham (1978) for this problem is ...