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Farey sequences |
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| Authors: | S. B. Stechkin |
| Affiliation: | (1) V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR |
| Abstract: | The connection between the distribution of the terms of a Farey sequence and the behavior of the Riemann zeta function is studied. Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 91–113, January, 1997. Translated by N. K. Kulman |
| Keywords: | Farey sequence zeta function Tauberian theorem M?bius inversion formula Franel's formula Riemann hypothesis asymptotic law of primes |
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