East Asian mathematical journal
- Volume 16 Issue 2
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- Pages.303-315
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- 2000
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
A CLASS OF SERIES INVOLVING THE ZETA FUNCTION
- Lee, Hye-Rim (Department of Mathematics Pusan National University) ;
- Cho, Young-Joon (Department of Mathematics Pusan National University) ;
- Lee, Keum-Sik (Department of Mathematics Pusan National University) ;
- Seo, Tae-Young (Department of Mathematics Pusan National University)
- Published : 2000.12.31
Abstract
The authors apply the theory of multiple Gamma functions, which was recently revived in the study of the determinants of the Laplacians, in order to present a class of closed-form evaluations of series involving the Zeta function by appealing only to the definitions of the double and triple Gamma functions.
Keywords
- Multiple Gamma functions;
- Riemann's $\zeta$-function;
- determinants of Laplacians;
- series involving the Zeta function