Erratum to: The generalized strong recurrence for non-zero rational parameters |
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Authors: | Email author" target="_blank">Takashi?NakamuraEmail author ?ukasz?Pańkowski |
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Institution: | 1.Department of Mathematics, Faculty of Science and Technology,Tokyo University of Science Noda,Chiba,Japan;2.Faculty of Mathematics and Computer Science,Adam Mickiewicz University,Poznan,Poland |
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Abstract: | In the present paper, we prove that self-approximation of \({\log \zeta (s)}\) with d = 0 is equivalent to the Riemann Hypothesis. Next, we show self-approximation of \({\log \zeta (s)}\) with respect to all nonzero real numbers d. Moreover, we partially filled a gap existing in “The strong recurrence for non-zero rational parameters” and prove self-approximation of \({\zeta(s)}\) for 0 ≠ d = a/b with |a?b| ≠ 1 and gcd(a,b) = 1. |
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