Open Access
March 2017 The tail of the singular series for the prime pair and Goldbach problems
Daniel A. Goldston, Timothy Ngotiaoco, Julian Ziegler Hunts
Funct. Approx. Comment. Math. 56(1): 117-141 (March 2017). DOI: 10.7169/facm/1602

Abstract

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

Citation

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Daniel A. Goldston. Timothy Ngotiaoco. Julian Ziegler Hunts. "The tail of the singular series for the prime pair and Goldbach problems." Funct. Approx. Comment. Math. 56 (1) 117 - 141, March 2017. https://doi.org/10.7169/facm/1602

Information

Published: March 2017
First available in Project Euclid: 27 January 2017

zbMATH: 06864150
MathSciNet: MR3629015
Digital Object Identifier: 10.7169/facm/1602

Subjects:
Primary: 11N05
Secondary: 11N36 , 11P32

Keywords: Hardy-Littlewood conjecture , prime numbers , singular series

Rights: Copyright © 2017 Adam Mickiewicz University

Vol.56 • No. 1 • March 2017
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