The error term in the Cesàro mean of the prime pair singular series
arXiv:2007.14616 · doi:10.1016/j.jnt.2021.03.004
Abstract
We show that the error term in the asymptotic formula for the Ces{à}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too small and oscillates.
arXiv comment9 pages