All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

On some weighted sum formulas involving general 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%2F19%3A10242805" target="_blank" >RIV/61989100:27510/19:10242805 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0022314X19301829?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022314X19301829?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jnt.2019.05.003" target="_blank" >10.1016/j.jnt.2019.05.003</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On some weighted sum formulas involving general multiple zeta-type series

  • Original language description

    The purpose of this paper is a study of the general finite sums Phi N,d(K) := Sigma(N &gt;= n1 &gt;=...&gt;= nk &gt;= 1) Pi(K)(j=1) A (inverted right perpendicular nj/d inverted left perpendicular), d is an element of N, that generalize the truncated multiple harmonic sums zeta(star)(N)({s}(K)) corresponding to d = 1 and A(n) = 1/n(s) with s is an element of N. Surprisingly, when specializing our general transformation result concerning Phi(dN,d)(K), such a type of finite sums can be used for generating and closed-form evaluation of new linear combinations of multiple Hurwitz zeta-star values of the form Sigma(s proves K max(s)&lt;= d) zeta(star) (cs; a). Pi(l(s))(r=1) ((-1)(sr-1).(d s(r))), assuming (a, c, d, K) is an element of R x N-3 with a &gt; -1, c &gt; 1, where the sum is extended over all compositions of K with maximal part not exceeding d. (C) 2019 Elsevier Inc. All rights reserved.

  • 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

    10100 - Mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Number Theory

  • ISSN

    0022-314X

  • e-ISSN

  • Volume of the periodical

    205

  • Issue of the periodical within the volume

    December 2019

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    24

  • Pages from-to

    124-147

  • UT code for WoS article

    000483456600007

  • EID of the result in the Scopus database

    2-s2.0-85067472827