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On the Critical Strip of the Riemann zeta Fractional derivative
University of Tuscia Largo dell’Universita, Italy.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. University of Salerno, Italy. (MAM)ORCID iD: 0000-0003-3320-1493
Nanjing University, China.
2017 (English)In: Fundamenta Informaticae, ISSN 0169-2968, E-ISSN 1875-8681, Vol. 151, 459-472 p.Article in journal (Refereed) Published
Abstract [en]

The fractional derivative of the Dirichlet eta function is computed in order to investigate the behavior of the fractional derivative of the Riemann zeta function on the critical strip. Its convergence is studied. In particular, its half-plane of convergence gives the possibility to better understand the fractional derivative of the Riemann zeta function and its critical strip. As an application, two signal processing networks, corresponding to the fractional derivative of the eta function and to its Fourier transform, respectively, are shortly described.

Place, publisher, year, edition, pages
2017. Vol. 151, 459-472 p.
Keyword [en]
Fractional derivative; Riemann zeta function; Dirichlet eta function; signal processing; Fourier transform operator; critical strip.
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33253DOI: 10.3233/FI-2017-1504ISI: 000398583500029Scopus ID: 2-s2.0-85015373577OAI: oai:DiVA.org:mdh-33253DiVA: diva2:974552
Available from: 2016-09-26 Created: 2016-09-26 Last updated: 2017-05-19Bibliographically approved

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Guariglia, Emanuel

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