Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis

In this paper, by means of the classical inversion formula of the Mellin transform and also by means of a L 2 inversion formula, we obtain corresponding inversion formulae for a Lambert-type integral transform. As a consequence of these results, we consider some class of functions regarding Salem�...

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Bibliographic Details
Published inIntegral transforms and special functions Vol. 34; no. 8; pp. 614 - 618
Main Authors González, B. J., Negrín, E. R.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.08.2023
Taylor & Francis Ltd
Subjects
Equivalence
Hypotheses
Integral transforms
inversion formulae
Lambert-type transform
Mellin transform
Mellin transforms
Primary 44A15
Salem's equivalence
Secondary 11M06
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Summary:In this paper, by means of the classical inversion formula of the Mellin transform and also by means of a L 2 inversion formula, we obtain corresponding inversion formulae for a Lambert-type integral transform. As a consequence of these results, we consider some class of functions regarding Salem's equivalence to the Riemann hypothesis.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2023.2169284