A Carleman-Nevanlinna theorem and summation of the Riemann zeta-function logarithm

DOI10.1007/BF03321076zbMath1157.11313OpenAlexW1973987283MaRDI QIDQ558492

Andrii A. Kondratyuk

Publication date: 6 July 2005

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321076

zbMATH Keywords

Riemann zeta-functionRiemann hypothesismeromorphic functionsummationEuler productCarleman-Nevanlinna theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Fourier transform associated with Riemann zeta function

Cites Work

• On the Selberg class of Dirichlet series: Small degrees
• THE MEAN SQUARE OF THE LOGARITHM OF THE ZETA-FUNCTION
• Non-vanishing of \(L\)-functions and applications
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