Some computational formulas related the Riemann zeta-function tails
Abstract In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1068-2 |
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Article |
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doaj-7838264fdeee42febab4105e115ce0bd2020-11-25T00:49:12ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-05-01201611710.1186/s13660-016-1068-2Some computational formulas related the Riemann zeta-function tailsHongmin Xu0Department of Mathematics and Physics, Beijing Institute of Petrochemical TechnologyAbstract In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).http://link.springer.com/article/10.1186/s13660-016-1068-2Riemann zeta-functioninequalitycontinued fractiontelescoping methodmultiple-correction method |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hongmin Xu |
| spellingShingle |
Hongmin Xu Some computational formulas related the Riemann zeta-function tails Journal of Inequalities and Applications Riemann zeta-function inequality continued fraction telescoping method multiple-correction method |
| author_facet |
Hongmin Xu |
| author_sort |
Hongmin Xu |
| title |
Some computational formulas related the Riemann zeta-function tails |
| title_short |
Some computational formulas related the Riemann zeta-function tails |
| title_full |
Some computational formulas related the Riemann zeta-function tails |
| title_fullStr |
Some computational formulas related the Riemann zeta-function tails |
| title_full_unstemmed |
Some computational formulas related the Riemann zeta-function tails |
| title_sort |
some computational formulas related the riemann zeta-function tails |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2016-05-01 |
| description |
Abstract In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016). |
| topic |
Riemann zeta-function inequality continued fraction telescoping method multiple-correction method |
| url |
http://link.springer.com/article/10.1186/s13660-016-1068-2 |
| work_keys_str_mv |
AT hongminxu somecomputationalformulasrelatedtheriemannzetafunctiontails |
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1725252394765254656 |