Almost all short intervals containing prime numbers
Chaohua Jia (1996)
Acta Arithmetica
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Chaohua Jia (1996)
Acta Arithmetica
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Hong-Quan Liu (1995)
Acta Arithmetica
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Chaohua Jia, Ming-Chit Liu (2000)
Acta Arithmetica
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John H. Conway, Richard K. Guy, W. A. Schneeberger, N. J. A. Sloane (1997)
Acta Arithmetica
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König, Roman (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Stanić, Zoran (2007)
Novi Sad Journal of Mathematics
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Takao Komatsu (1996)
Acta Arithmetica
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D. A. Goldston, S. M. Gonek (1998)
Acta Arithmetica
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We obtain formulas for computing mean values of Dirichlet polynomials that have more terms than the length of the integration range. These formulas allow one to compute the contribution of off-diagonal terms provided one knows the correlation functions for the coefficients of the Dirichlet polynomials. A smooth weight is used to control error terms, and this weight can in typical applications be removed from the final result. Similar results are obtained for the tails of Dirichlet series....
Hongze Li (1997)
Acta Arithmetica
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Tsutomu Shimada (1996)
Acta Arithmetica
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