The Mellin transform of the partial fraction expansion for \(\theta (x)\)

DOI10.1007/BF01578906zbMath0427.44004OpenAlexW2065625574MaRDI QIDQ1136299

Peter L. Walker

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163467

zbMATH Keywords

Mellin transformmethod of analytic continuationpartial fraction expansiondouble series representation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Representations of entire functions of one complex variable by series and integrals (30D10) Analytic continuation of functions of one complex variable (30B40)

Cites Work

• On the Holomorphy of Certain Dirichlet Series
• On the partial fraction expansion for \(\theta(x)\)

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