Jaban, Meher and Bala, Sinha Sneh
(2015)
*SOME INFINITE SUMS IDENTITIES.*
In: CZECHOSLOVAK MATHEMATICAL JOURNAL, 65
(3).
pp. 819-827.

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Official URL: http://dx.doi.org/10.1007/s10587-015-0210-5

## Abstract

We find the sum of series of the form Sigma(infinity)(i=1) f(i)/i(r) for some special functions f. The above series is a generalization of the Riemann zeta function. In particular, we take f as some values of Hurwitz zeta functions, harmonic numbers, and combination of both. These generalize some of the results given in Mezo's paper (2013). We use multiple zeta theory to prove all results. The series sums we have obtained are in terms of Bernoulli numbers and powers of pi.

Item Type: | Journal Article |
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Additional Information: | Copy right for this article belongs to the SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY |

Keywords: | multiple zeta values; multiple Hurwitz zeta values |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Id for Latest eprints |

Date Deposited: | 19 Nov 2015 04:55 |

Last Modified: | 19 Nov 2015 04:55 |

URI: | http://eprints.iisc.ac.in/id/eprint/52778 |

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