Mean square of the Mellin transform of the Riemann zeta-function

DOI10.1080/10652469.2010.536412zbMath1239.11092OpenAlexW2080142587MaRDI QIDQ3093004

Antanas Laurinčikas

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.536412

zbMATH Keywords

Mellin transformRiemann zeta-functionmean squareAtkinson's formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) (zeta (s)) and (L(s, chi)) (11M06)

Cites Work

• On the error term in the mean square formula for the Riemann zeta-function in the critical strip
• On some conjectures and results for the Riemann zeta-function and Hecke series
• THE MELLIN TRANSFORM OF THE SQUARE OF RIEMANN'S ZETA-FUNCTION
• The Mellin transform of the square of Riemann's zeta-function
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