On smooth integers in short intervals under the Riemann Hypothesis
Ti Zuo Xuan (1999)
Acta Arithmetica
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Ti Zuo Xuan (1999)
Acta Arithmetica
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Karl K. Norton (1994)
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Clemens Heuberger, Robert F. Tichy (1999)
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Amora Nongkynrih (1995)
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Foss, S. G., Denisov, D. Eh. (2001)
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Yann Bugeaud, Kálmán Győry (1996)
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Laurenţiu Panaitopol (2000)
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Introduction. In this note we use the following standard notations: π(x) is the number of primes not exceeding x, while . The best known inequalities involving the function π(x) are the ones obtained in [6] by B. Rosser and L. Schoenfeld: (1) x/(log x - 1/2) < π(x) for x ≥ 67 (2) x/(log x - 3/2) > π(x) for . The proof of the above inequalities is not elementary and is based on the first 25 000 zeros of the Riemann function ξ(s) obtained by D. H. Lehmer [4]. Then Rosser, Yohe...
Goswami, Pranay, Bansal, Sanjay (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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C. L. Stewart, R. Tijdeman (1997)
Acta Arithmetica
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Maurice Mignotte (1996)
Acta Arithmetica
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