Art

J-GLOBAL ID：202002287558678679   Reference number：20A1373096

A Generalization of the Secant Zeta Function as a Lambert Series

Lambert級数としてのセカントZeta関数の一般化【JST・京大機械翻訳】

Author (3)： Li H.-Y. ( Sanmenxia Suda Transportation Energy Saving Technology Co., Ltd., Sanmenxia, 472000 Henan, China) ,  Maji B. ( Discipline of Mathematics, Indian Institute of Technology Indore, Simrol, Indore 453552, Madhya Pradesh, India) ,  Kuzumaki T. ( Faculty of Engineering, Gifu University, Gifu 501-1193, Japan)
Material： Mathematical Problems in Engineering (Web)
Volume： 2020  Page： Null  Publication year： 2020 
JST Material Number： U7803A  ISSN： 1024-123X  Document type： Article
Article type： 原著論文  Country of issue： United Kingdom (GBR)  Language： ENGLISH (EN)

Abstract/Point： Recently, Lalin, Rodrigue, and...

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Thesaurus term： *zeta function

JST classification (2)： Computer system development  (JD02010R) ,  Numerical computation  (JE02000J)

Reference (13)：

• B. Riemann, Fragmente Über Die Grenzfälle der Ellipitischen Modulfunctionen, Collected Works of Bernhard Riemann, pp. 455-465, Dover, New York, NY, USA, 2nd edition, 1852.
• A. Wintner, "On Riemann’s fragment concerning elliptic modular functions," American Journal of Mathematics, vol. 63, no. 3, pp. 628-634, 1941.
• A. D. Reyna, "Riemann’s fragment on the limit values of elliptic modular functions," The Ramanujan Journal, vol. 8, pp. 57-123, 2004.
• N. Wang, "On Riemann’s posthumous fragment II on the limit values of elliptic modular functions," The Ramanujan Journal, vol. 24, no. 2, pp. 129-145, 2011.
• J. Lewittes, "Analytic continuation of Eisenstein series," Transactions of the American Mathematical Society, vol. 171, pp. 469, 1972.

Terms in the title (3)： 級数 ,  関数 ,  一般化