Estimates for the sequence of primes.
Ulrich Felgner (1991)
Elemente der Mathematik
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Ulrich Felgner (1991)
Elemente der Mathematik
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Shaoji Feng, Xiaosheng Wu (2012)
Acta Arithmetica
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Andrzej Makawski (1983)
Elemente der Mathematik
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Edgar Karst (1973)
Elemente der Mathematik
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Andrzej Makowski (1982)
Elemente der Mathematik
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Müller, Tom (2006)
Experimental Mathematics
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Glyn Harman (2006)
Acta Arithmetica
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Chaumont, Alain, Müller, Tom (2006)
Journal of Integer Sequences [electronic only]
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Christian Elsholtz (2003)
Acta Arithmetica
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M. C. Liu, T. Z. Wang (2002)
Acta Arithmetica
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Douglas Hensley, Ian Richards (1974)
Acta Arithmetica
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Daniel Alan Goldston, János Pintz, Cem Yalçın Yıldırım (2013)
Acta Arithmetica
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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.
J. Steinig, P. Schumer (1988)
Elemente der Mathematik
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