Primes with preassigned digits
Glyn Harman (2006)
Acta Arithmetica
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Glyn Harman (2006)
Acta Arithmetica
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Gustavo Funes, Damian Gulich, Leopoldo Garavaglia, Mario Garavaglia (2008)
Visual Mathematics
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Glyn Harman, Imre Kátai (2008)
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.
Kaisa Matomäki (2009)
Acta Arithmetica
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Dieter Wolke (2005)
Acta Arithmetica
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Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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Jörg Brüdern, Koichi Kawada (2011)
Colloquium Mathematicae
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A new method for counting primes in a Beatty sequence is proposed, and it is shown that an asymptotic formula can be obtained for the number of such primes in a short interval.
Jan Mycielski (1989)
Colloquium Mathematicae
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Christian Elsholtz (2003)
Acta Arithmetica
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Chaumont, Alain, Müller, Tom (2006)
Journal of Integer Sequences [electronic only]
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Hakan Ali-John Seyalioglu (2009)
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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Stephan Baier, Liangyi Zhao (2013)
Acta Arithmetica
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We study the average of the Fourier coefficients of a holomorphic cusp form for the full modular group at primes of the form [g(n)].
Imre Z. Ruzsa, Tom Sanders (2008)
Acta Arithmetica
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D. W. Dubois
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CONTENTSIntroduction....................................................................................... 5§ 1. Preliminaries............................................................................ 8§ 2. Constructions........................................................................... 10§ 3. Orders and modes.................................................................. 13§ 4. Conic primes............................................................................ 19§...
Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Hongze Li, Hao Pan (2008)
Acta Arithmetica
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