Ramūnas Garunkštis, Antanas P Laurincikas
Abstract
Abstract We prove that, under the Riemann hypothesis, a wide class of analytic functions can be approximated by shifts ζ(s + iγk ), k ∈ ℕ, of the Riemann zeta-function, where γk are imaginary parts of nontrivial zeros of ζ(s).
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Abstract We prove that, under the Riemann hypothesis, a wide class of analytic functions can be approximated by shifts ζ(s + iγk ), k ∈ ℕ, of the Riemann zeta-function, where γk are imaginary parts of nontrivial zeros of ζ(s).
Key concepts: Mathematics, Riemann hypothesis, Riemann zeta function, Riemann Xi function, Z function, Explicit formulae, Particular values of Riemann zeta function, Universality (dynamical systems)