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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 &gt;= n1 &gt;= ... &gt;= nK &gt;= 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