MELLIN TRANSFORM OF DIRICHLET L-FUNCTIONS WITH PRIMITIVE CHARACTER

DOI10.3846/13926292.2014.980867zbMath1488.11124OpenAlexW2053917345MaRDI QIDQ5011216

Aidas Balčiūnas, Darius Šiaučiūnas

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2014.980867

zbMATH Keywords

meromorphic continuationDirichlet \(L\)-functionmodified Mellin transform

Mathematics Subject Classification ID

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

Cites Work

• A growth estimate for the Mellin transform of the Riemann zeta function
• Lectures on a method in the theory of exponential sums
• On some conjectures and results for the Riemann zeta-function and Hecke series
• The Mellin transform of the square of the Riemann zeta-function in the critical strip
• The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function
• The Mellin transform of powers of the zeta-function
• 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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