Remarks on the Bombieri-Davenport Large Sieve Inequalities
John Friedlander, Henryk Iwaniec
TL;DR
This paper discusses improvements to the Large Sieve inequality specifically tailored for special sequences, enhancing its effectiveness in analytic number theory applications.
Contribution
It introduces novel refinements to the Bombieri-Davenport Large Sieve inequalities for certain classes of sequences.
Findings
Enhanced bounds for special sequences
Broader applicability of the Large Sieve
Potential implications for prime number theory
Abstract
Improvements of the Large Sieve for Special Sequences
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Point processes and geometric inequalities