A complete Vinogradov 3-primes theorem under the Riemann hypothesis.
Deshouillers, J.-M., Effinger, G., te Riele, H., Zinoviev, D. (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Deshouillers, J.-M., Effinger, G., te Riele, H., Zinoviev, D. (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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János Pintz (2012)
Acta Arithmetica
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D.R. Heath-Brown, D.A. Goldston (1984)
Mathematische Annalen
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Huizeng Qin, Ovidiu Furdui (2015)
Open Mathematics
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In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
M. C. Liu, T. Z. Wang (2002)
Acta Arithmetica
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J. Sander (1991)
Acta Arithmetica
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J. Wu (2004)
Acta Arithmetica
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J. Wu (2008)
Acta Arithmetica
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Booker, Andrew R. (2006)
Experimental Mathematics
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Danilo Bazzanella (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Shaoji Feng, Xiaosheng Wu (2012)
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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Tsz Ho Chan (2004)
Acta Arithmetica
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Jan-Christoph Puchta (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.
Müller, Tom (2006)
Experimental Mathematics
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