An Upper Bound for the Sum of Large Differences Between Prime Numbers

DOI10.2307/2043982zbMath0469.10014OpenAlexW4248282426MaRDI QIDQ3922744

Roger J. Cook

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043982

zbMATH Keywords

upper bounddensity theoremsconsecutive prime numbersRiemann's zeta-functionsum of large differences between prime numberszero-density function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Distribution of primes (11N05)

Cites Work

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• Zero-density estimates for L-functions
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• The Differences between Consecutive Primes, II
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• On the Occurrence of large gaps between prime numbers
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• On the difference between consecutive primes