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The sum of the series of reciprocals of the quadratic polynomials with integer roots

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F18%3A00535272" target="_blank" >RIV/60162694:G43__/18:00535272 - isvavai.cz</a>

  • Result on the web

    <a href="http://evlm.stuba.sk/APLIMAT2018/proceedings/" target="_blank" >http://evlm.stuba.sk/APLIMAT2018/proceedings/</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The sum of the series of reciprocals of the quadratic polynomials with integer roots

  • Original language description

    This contribution is a follow-up and a completion to the previous author's papers dealing with the sums of the series of reciprocals of quadratic polynomials with non-zero roots. We summarize these results and deal with the sum of the series of reciprocals of the quadratic polynomials with zero roots. We derive the formulas for these sums and verify them by some examples evaluated using the computer algebra system Maple 16.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Aplimat - 17th Conference on Applied Mathematics 2018

  • ISBN

    978-80-227-4765-3

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    853-860

  • Publisher name

    Vydavateľstvo STU, Bratislava, Slovak Republic

  • Place of publication

    Bratislava, Slovenská republika

  • Event location

    Bratislava, Slovenská republika

  • Event date

    Feb 6, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article