The Divisibility of Isols by Powers of Primes.
J.C.E. Dekker, J. Myhill (1960)
Mathematische Zeitschrift
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J.C.E. Dekker, J. Myhill (1960)
Mathematische Zeitschrift
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David M. Goldschmidt (1970)
Mathematische Zeitschrift
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Edward Cline (1968)
Mathematische Zeitschrift
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Melvin Hochster (1973)
Mathematische Zeitschrift
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Lou van den Dries (1991)
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Glyn Harman (1982)
Mathematische Zeitschrift
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Glyn Harman, Imre Kátai (2008)
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Glyn Harman (2006)
Acta Arithmetica
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Christian Elsholtz (2003)
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.
Chaumont, Alain, Müller, Tom (2006)
Journal of Integer Sequences [electronic only]
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Yong-Gao Chen (2012)
Acta Arithmetica
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Roger C. Baker, Liangyi Zhao (2016)
Acta Arithmetica
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We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).
Müller, Tom (2006)
Experimental Mathematics
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Gustavo Funes, Damian Gulich, Leopoldo Garavaglia, Mario Garavaglia (2008)
Visual Mathematics
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