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Fundamental Domains of Gamma and Zeta Functions
Joint Authors
Ghisa, Dorin
Cazacu, Cabiria Andreian
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-24
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Branched covering Riemann surfaces (ℂ,f) are studied, where f is the Euler Gamma function and the Riemann Zeta function.
For both of them fundamental domains are found and the group of cover transformations is revealed.
In order to find fundamental domains, preimages of the real axis are taken and a thorough study of their geometry is performed.
The technique of simultaneous continuation, introduced by the authors in previous papers, is used for this purpose.
Color visualization of the conformal mapping of the complex plane by these functions is used for a better understanding of the theory.
A version of this paper containing colored images can be found in arXiv at Andrian Cazacu and Ghisa.
American Psychological Association (APA)
Cazacu, Cabiria Andreian& Ghisa, Dorin. 2011. Fundamental Domains of Gamma and Zeta Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-513701
Modern Language Association (MLA)
Cazacu, Cabiria Andreian& Ghisa, Dorin. Fundamental Domains of Gamma and Zeta Functions. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-513701
American Medical Association (AMA)
Cazacu, Cabiria Andreian& Ghisa, Dorin. Fundamental Domains of Gamma and Zeta Functions. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-513701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513701