| dc.contributor.author | Genčev, Marian | |
| dc.date.accessioned | 2022-02-10T09:47:47Z | |
| dc.date.available | 2022-02-10T09:47:47Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Mediterranean Journal of Mathematics. 2021, vol. 18, issue 6, art. no. 236. | cs |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.uri | http://hdl.handle.net/10084/145776 | |
| dc.description.abstract | In the last decade, many authors essentially contributed to the attractive theory of multiple zeta values. Nevertheless, since their introduction in 1992, there are still many hypotheses and open problems waiting to be solved. The aim of this paper is to develop a method for transforming the multiple zeta-star values. zeta*({2}(K), c) leading to a new sum formula for alternating multiple zeta-star values. Its most simple case has the intelligible form
Sigma(c-2)(t=0) (-2)(t+1) Sigma(i >= 2,s is an element of Nt)(i+vertical bar s vertical bar-c) zeta*((i) over bar, s) = (-1)(c) . zeta(c).
As a by-product, we also establish a closed form for a new harmonic-like finite summation containing binomial coefficients. | cs |
| dc.language.iso | en | cs |
| dc.publisher | Springer Nature | cs |
| dc.relation.ispartofseries | Mediterranean Journal of Mathematics | cs |
| dc.relation.uri | https://doi.org/10.1007/s00009-021-01844-z | cs |
| dc.rights | Copyright © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG | cs |
| dc.subject | multiple zeta values | cs |
| dc.subject | binomial sums | cs |
| dc.subject | difference equations | cs |
| dc.title | A weighted sum formula for alternating multiple zeta-star values | cs |
| dc.type | article | cs |
| dc.identifier.doi | 10.1007/s00009-021-01844-z | |
| dc.type.status | Peer-reviewed | cs |
| dc.description.source | Web of Science | cs |
| dc.description.volume | 18 | cs |
| dc.description.issue | 6 | cs |
| dc.description.firstpage | art. no. 236 | cs |
| dc.identifier.wos | 000706770100002 | |