The error term in the Cesàro mean of the prime pair singular series
Publication Date
10-1-2021
Document Type
Article
Publication Title
Journal of Number Theory
Volume
227
DOI
10.1016/j.jnt.2021.03.004
First Page
144
Last Page
157
Abstract
We show that the error term in the asymptotic formula for the Cesàro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too small and oscillates.
Funding Number
18K13400
Funding Sponsor
Japan Society for the Promotion of Science
Keywords
Prime numbers, Riemann zeta-function, Singular series
Department
Mathematics and Statistics
Recommended Citation
D. A. Goldston and Ade Irma Suriajaya. "The error term in the Cesàro mean of the prime pair singular series" Journal of Number Theory (2021): 144-157. https://doi.org/10.1016/j.jnt.2021.03.004
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