Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

Jörn Steuding; Ade Irma Suriajaya

doi:10.1007/s40315-020-00316-x

Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

Jörn Steuding, Ade Irma Suriajaya

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

3 被引用数 (Scopus)

抄録

For an arbitrary complex number a≠ 0 we consider the distribution of values of the Riemann zeta-function ζ at the a-points of the function Δ which appears in the functional equation ζ(s) = Δ (s) ζ(1 - s). These a-points δ_a are clustered around the critical line 1 / 2 + iR which happens to be a Julia line for the essential singularity of ζ at infinity. We observe a remarkable average behaviour for the sequence of values ζ(δ_a).

本文言語	英語
ページ（範囲）	389-401
ページ数	13
ジャーナル	Computational Methods and Function Theory
巻	20
号	3-4
DOI	https://doi.org/10.1007/s40315-020-00316-x
出版ステータス	出版済み - 11月 2020

!!!All Science Journal Classification (ASJC) codes

分析
計算理論と計算数学
応用数学

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10.1007/s40315-020-00316-x

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Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

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