Integral and Series Representations of Riemann's Zeta Function and Dirichlet's Eta Function and a Medley of Related Results
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Contour integral representations of Riemann's Zeta function and Dirichlet's Eta (alternating Zeta) function are presented and investigated.
These representations flow naturally from methods developed in the 1800s, but somehow they do not appear in the standard reference summaries, textbooks, or literature.
Using these representations as a basis, alternate derivations of known series and integral representations for the Zeta and Eta function are obtained on a unified basis that differs from the textbook approach, and results are developed that appear to be new.
American Psychological Association (APA)
Milgram, Michael S.. 2013. Integral and Series Representations of Riemann's Zeta Function and Dirichlet's Eta Function and a Medley of Related Results. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-452443
Modern Language Association (MLA)
Milgram, Michael S.. Integral and Series Representations of Riemann's Zeta Function and Dirichlet's Eta Function and a Medley of Related Results. Journal of Mathematics No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-452443
American Medical Association (AMA)
Milgram, Michael S.. Integral and Series Representations of Riemann's Zeta Function and Dirichlet's Eta Function and a Medley of Related Results. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-452443
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452443