Simple proof of Gallagher's singular series sum estimate
Kevin Ford
TL;DR
This paper presents a straightforward approach to estimate the average of Gallagher's singular series associated with prime k-tuples, simplifying previous methods and providing clearer insights into their behavior.
Contribution
The paper introduces a simple method for estimating the average of singular series related to prime k-tuples, improving on prior complex techniques.
Findings
Simplified estimation method for singular series averages
Enhanced understanding of prime k-tuple distributions
Potential applications to prime number conjectures
Abstract
We give a simple method for estimating the average of singular series' associated with prime k-tuples.
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Taxonomy
TopicsAnalytic Number Theory Research · Meromorphic and Entire Functions