Erratum to: The generalized strong recurrence for non-zero rational parameters
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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.
Mathematics Subject Classification
Primary 11M06 Secondary 11M26Keywords
The Riemann zeta function Self-approximation Download
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