An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
Yuichi Kamiya, Masatoshi Suzuki (2004)
Publications de l'Institut Mathématique
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Yuichi Kamiya, Masatoshi Suzuki (2004)
Publications de l'Institut Mathématique
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J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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K. Srinivas (2002)
Acta Arithmetica
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H. M. Bui (2014)
Acta Arithmetica
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Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average spacing.
James Haglund (2011)
Open Mathematics
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Riemann conjectured that all the zeros of the Riemann ≡-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ≡N(z) in Riemann’s uniformly convergent infinite series expansion of ≡(z) involving incomplete gamma functions. We conjecture that when the zeros of ≡N(z) in the first quadrant of the complex plane are listed by increasing real part, their imaginary parts are monotone nondecreasing. We show...
Masatoshi Suzuki (2009)
Acta Arithmetica
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A. Fletcher, V. Marković (2004)
Publications de l'Institut Mathématique
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M. Z. Garaev (2003)
Acta Arithmetica
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Csordas, George, Yang, Chung-Chun (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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J. Knežević-Miljanović (1992)
Matematički Vesnik
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Lopes-Pinto, António J.B. (1998)
Journal of Convex Analysis
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Tsz Ho Chan (2004)
Acta Arithmetica
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Jozef Rovder (1974)
Matematický časopis
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