Generalization of the non-local derangement identity and applications to multiple zeta-type series
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F17%3A10237590" target="_blank" >RIV/61989100:27510/17:10237590 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00605-016-0984-z" target="_blank" >https://link.springer.com/article/10.1007/s00605-016-0984-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00605-016-0984-z" target="_blank" >10.1007/s00605-016-0984-z</a>
Alternative languages
Result language
angličtina
Original language name
Generalization of the non-local derangement identity and applications to multiple zeta-type series
Original language description
The goal of this paper is the study of a transformation concerning the general K-fold finite sums of the form Sigma (N >= n1 >= ... >= nK >= 1) 1/b(nK) . Pi (K-1)(J=1) 1/a(nj), where (K,N) is an element of N-2 and {a(n)}(n=1)(infinity), {b(n)}(n=1)(infinity) are appropriate real sequences. In the application part of our paper we apply the developed transformation to two special parametric multiple zeta-type series that generalize the well-know formula zeta(star)({2}(K), 1) = 2 zeta(2K + 1), K is an element of N. As a corollary of our parametric results, we also prove several sum formulas involving multiple zeta-star values.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Monatshefte fur Mathematik
ISSN
0026-9255
e-ISSN
—
Volume of the periodical
184
Issue of the periodical within the volume
2
Country of publishing house
AT - AUSTRIA
Number of pages
27
Pages from-to
217-243
UT code for WoS article
000410405200004
EID of the result in the Scopus database
2-s2.0-84990909883