Fourier transform associated with Riemann zeta function

DOI10.3103/S1068362321010064zbMath1469.11309OpenAlexW3160517594MaRDI QIDQ2030183

G. V. Mikaelyan

Publication date: 7 June 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362321010064

zbMATH Keywords

Fourier transformRiemann hypothesisRiemann zeta functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

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• A Carleman-Nevanlinna theorem and summation of the Riemann zeta-function logarithm
• A version of Carleman's formula and summation of the Riemann \(\zeta\)-function logarithm on the critical line
• Notes on the Riemann \(\zeta\)-function. II
• On the Fourier series of the zeta-function logarithm on the vertical lines.
• Fourier coefficients associated with the Riemann zeta-function

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