THE LAPLACE TRANSFORM OF DIRICHLET 𝐿-FUNCTIONS

DOI10.22405/2226-8383-2017-18-4-86-96zbMath1434.11170OpenAlexW4240439189MaRDI QIDQ5108815

Aidas Balčiūnas, Renata Macaitiene

Publication date: 6 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb598

zbMATH Keywords

Laplace transformMellin transformRiemann zeta-functionDirichlet \(L\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Laplace transform (44A10) Other Dirichlet series and zeta functions (11M41)

Cites Work

• The Voronoi identity via the Laplace transform
• The Laplace transform of the Riemann zeta-function in the critical strip
• THE MEAN VALUE OF THE ZETA-FUNCTION ON THE CRITICAL LINE
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