Abstract
The Gram points \(t_n\) are defined as solutions of the equation \(\theta (t)=(n-1)\pi \), \(n\in \mathbb {N}\), where \(\theta (t)\), \(t>0\), denotes the increment of the argument of the function \(\pi ^{-s/2}\Gamma \left( \frac{s}{2}\right) \) along the segment connecting the points \(s=\frac{1}{2}\) and \(s=\frac{1}{2}+it\). In the paper, theorems on the approximation of a wide class of analytic functions by shifts \(\zeta (s+iht_k)\), \(h>0\), \(k\in \mathbb {N}\), of the Riemann zeta-function are obtained.
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Korolev, M., Laurinčikas, A. A new application of the gram points. Aequat. Math. 93, 859–873 (2019). https://doi.org/10.1007/s00010-019-00647-8
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DOI: https://doi.org/10.1007/s00010-019-00647-8