On a conjecture of Pomerance
L. Hajdu, N. Saradha, R. Tijdeman (2012)
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L. Hajdu, N. Saradha, R. Tijdeman (2012)
Acta Arithmetica
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Glyn Harman (2006)
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We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.
Glyn Harman, Imre Kátai (2008)
Acta Arithmetica
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János Pintz (2012)
Acta Arithmetica
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Acta Arithmetica
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Acta Arithmetica
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D. Heath-Brown (1982)
Acta Arithmetica
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