On Some Improvements of the Brun-Titchmarsh Theorem. IV
Yoichi Motohashi
TL;DR
This paper introduces a new large sieve approach to improve the Brun-Titchmarsh theorem, providing sharper bounds on the distribution of primes in arithmetic progressions.
Contribution
It presents a novel large sieve version of the Brun-Titchmarsh theorem, enhancing existing bounds and methods in prime number theory.
Findings
New large sieve inequality for primes
Sharper bounds on prime distribution in arithmetic progressions
Improved theoretical understanding of prime gaps
Abstract
We show a new large sieve version of the Brun-Titchmarsh theorem.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Advanced Mathematical Identities