Dirichlet series with periodic coefficients and their value-distribution near the critical line

DOI10.1134/S0081543821040118zbMath1476.30016arXiv2007.14008OpenAlexW3206385927MaRDI QIDQ2234371

Jörn Steuding, Ade Irma Suriajaya, Athanasios Sourmelidis

Publication date: 19 October 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14008

zbMATH Keywords

Dirichlet seriesvalue-distribution

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (3)

On the vertical distribution of values of L-functions in the Selberg class ⋮ Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law ⋮ Riemann-type functional equations. Julia line and counting formulae

Cites Work

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• On the value-distribution of the Riemann zeta function on the critical line
• A universality theorem for the Riemann zeta-function with respect to Beatty sets
• Joint value-distribution of Dirichlet series associated with periodic arithmetical functions
• Mean values of the Riemann zeta-function and its derivatives
• Value distribution of \(L\)-functions
• Werteverteilung von Zetafunktionen
• On an approximate functional equation for Dirichlet L-series
• Value-distribution of the Riemann zeta-function along its Julia lines
• A new application of the Gram points
• An inequality for the Riemann zeta function
• Gram's law in the theory of the Riemann zeta-function. I
• One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann’s Zeta-Function
• Almost All Roots of ζ( s ) = a Are Arbitrarily Close to σ = 1/2
• О функциональной независимости L-функций Дирихле
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• NEGATIVE VALUES OF THE RIEMANN ZETA FUNCTION ON THE CRITICAL LINE
• Joint universality for sums and products of Dirichlet L-functions
• The Riemann Zeta function and coin tossing.
• Dirichlet L-Functions and Primitive Characters

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