most citedThe Tail of the Singular Series for the Prime Pair and Goldbach Problems

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math.NT2014★ 1 cited

The Tail of the Singular Series for the Prime Pair and Goldbach Problems

D. A. Goldston, Julian Ziegler Hunts, Timothy Ngotiaoco

We obtain an asymptotic formula for a weighted sum of the square of the tail of the singular series for the Goldbach and prime-pair problems.