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arXiv · 2007.14616

The error term in the Ces\`{a}ro mean of the prime pair singular series

D. A. Goldston·Ade Irma Suriajaya
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Abstract

We show that the error term in the asymptotic formula for the Ces{\`a}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too small and oscillates.

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D. A. Goldston, Ade Irma Suriajaya. 2020-07-29. The error term in the Ces\`{a}ro mean of the prime pair singular series. https://doi.org/10.1016/j.jnt.2021.03.004

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