On limit points of the sequence of normalized prime gaps

DOI10.1112/plms/pdw036zbMath1410.11114arXiv1404.5094OpenAlexW3100803707MaRDI QIDQ2834913

Tristan Freiberg, William D. Banks, James Maynard

Publication date: 25 November 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5094

zbMATH Keywords

Maynard-Tao theoremnormalized prime gapsErdős-Rankin-type constructions

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05)

Related Items (16)

Variants of the Selberg sieve, and bounded intervals containing many primes ⋮ On the gaps between consecutive primes ⋮ A note on the distribution of normalized prime gaps ⋮ Totient quotient and small gaps between primes ⋮ The work of James Maynard ⋮ Infinite partial sumsets in the primes ⋮ Prime tuples and Siegel zeros ⋮ Limit points of normalized prime gaps ⋮ Rényi 100, quantitative and qualitative (in)dependence ⋮ The twin prime conjecture ⋮ On a conjecture of Erdős, Pólya and Turán on consecutive gaps between primes ⋮ A Note on the Theorem of Maynard and Tao ⋮ Distance between natural numbers based on their prime signature ⋮ A Note on the Distribution of Primes in Intervals ⋮ Primes in intervals of bounded length ⋮ A variation of the prime k-tuples conjecture with applications to quantum limits

Cites Work

• Unnamed Item
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• Variants of the Selberg sieve, and bounded intervals containing many primes
• Large gaps between primes
• Large gaps between consecutive prime numbers
• Short character sums for composite moduli
• Primes in tuples. I
• Primes in arithmetic progressions to large moduli
• Limitations to the equi-distribution of primes. I
• On zeros of Dirichlet's \(L\)-series
• Bounded gaps between primes
• Topics in multiplicative number theory
• Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers
• LIMIT POINTS AND LONG GAPS BETWEEN PRIMES: Table 1.
• On the distribution of primes in short intervals
• A note on the distribution of normalized prime gaps
• Long gaps between primes
• THE DISTRIBUTION OF PRIME NUMBERS
• The Difference between Consecutive Prime Numbers
• Small gaps between primes

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