On the Means of the Non-trivial Zeros of the Riemann Zeta Function

Mehdi Hassani ()
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Mehdi Hassani: University of Zanjan, Department of Mathematics

A chapter in Advancements in Complex Analysis, 2020, pp 319-328 from Springer

Abstract: Abstract In this paper we obtain asymptotic expansion of the sequence with general term A n ∕ G n $$\mathcal {A}_n/\mathcal {G}_n$$ , where A n $$\mathcal {A}_n$$ and G n $$\mathcal {G}_n$$ are the arithmetic and geometric means of the numbers γ 1, γ 2, γ 3, …, γ n denoting consecutive ordinates of the imaginary parts of non-real zeros of the Riemann zeta function.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-40120-7_8

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DOI: 10.1007/978-3-030-40120-7_8

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