The sum of the reduced harmonic series generated by two primes determined analytically and computed by using CAS Maple

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F12%3A00476873" target="_blank" >RIV/60162694:G43__/12:00476873 - isvavai.cz</a>
Result on the web
<a href="http://vavtest.unob.cz/registr" target="_blank" >http://vavtest.unob.cz/registr</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The sum of the reduced harmonic series generated by two primes determined analytically and computed by using CAS Maple
Original language description
This contribution deals with the reduced harmonic series generated by two primes. A formula for the sum of these convergent reduced harmonic series is derived. These sums are computed by the using of the computer algebra system Maple 12 and its programming language for two different primes smaller than 100, although the formula is valid not only for two arbitrary primes, but also for two integers. We can say that the reduced harmonic series generated by two primes (or by two integers) belong to specialtypes of convergent infinite series, such as geometric and telescoping series, which sum can be found analytically by means of a simple formula.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Zborník vedeckých prác Aplikované úlohy v modernom vyučovaní matematiky
ISBN
978-80-552-0823-7
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
25-30
Publisher name
Slovenská poľnohospodárska univerzita v Nitre, Slovensko
Place of publication
Nitra, Slovensko
Event location
Nitra, Slovensko
Event date
Jan 1, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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