New series involving the zeta function

We evaluate sums of certain classes of new series involving the Riemann zeta function by using the theory of the double gamma function and a property of the gamma function. Relevant connections with various known results are also pointed out.

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Bibliographic Details
Main Author: Wu Yun-Fei
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006603
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author Wu Yun-Fei
author_facet Wu Yun-Fei
author_sort Wu Yun-Fei
collection DOAJ
description We evaluate sums of certain classes of new series involving the Riemann zeta function by using the theory of the double gamma function and a property of the gamma function. Relevant connections with various known results are also pointed out.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-3bd145ab2c484e4e8542958d637559632025-08-20T03:55:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128740341110.1155/S0161171201006603New series involving the zeta functionWu Yun-Fei0Department of Mathematics, Ningbo University, Zhejiang, Ningbo 315211, ChinaWe evaluate sums of certain classes of new series involving the Riemann zeta function by using the theory of the double gamma function and a property of the gamma function. Relevant connections with various known results are also pointed out.http://dx.doi.org/10.1155/S0161171201006603
spellingShingle Wu Yun-Fei
New series involving the zeta function
International Journal of Mathematics and Mathematical Sciences
title New series involving the zeta function
title_full New series involving the zeta function
title_fullStr New series involving the zeta function
title_full_unstemmed New series involving the zeta function
title_short New series involving the zeta function
title_sort new series involving the zeta function
url http://dx.doi.org/10.1155/S0161171201006603
work_keys_str_mv AT wuyunfei newseriesinvolvingthezetafunction