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A Generalization of the Secant Zeta Function as a Lambert Series
Joint Authors
Li, Hongyu
Maji, B.
Kuzumaki, T.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-30
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Recently, Lalín, Rodrigue, and Rogers have studied the secant zeta function and its convergence.
They found many interesting values of the secant zeta function at some particular quadratic irrational numbers.
They also gave modular transformation properties of the secant zeta function.
In this paper, we generalized secant zeta function as a Lambert series and proved a result for the Lambert series, from which the main result of Lalín et al.
follows as a corollary, using the theory of generalized Dedekind eta-function, developed by Lewittes, Berndt, and Arakawa.
American Psychological Association (APA)
Li, Hongyu& Maji, B.& Kuzumaki, T.. 2020. A Generalization of the Secant Zeta Function as a Lambert Series. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1200765
Modern Language Association (MLA)
Li, Hongyu…[et al.]. A Generalization of the Secant Zeta Function as a Lambert Series. Mathematical Problems in Engineering No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1200765
American Medical Association (AMA)
Li, Hongyu& Maji, B.& Kuzumaki, T.. A Generalization of the Secant Zeta Function as a Lambert Series. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1200765
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200765