The sum of the reduced harmonic series generated by three primes determined analytically and computed by using CAS Maple
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F13%3A00496449" target="_blank" >RIV/60162694:G43__/13:00496449 - 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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Alternative languages
Result language
angličtina
Original language name
The sum of the reduced harmonic series generated by three primes determined analytically and computed by using CAS Maple
Original language description
This contribution deals with the reduced harmonic series generated by three 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 15 and its programming language for three different primes smaller than 100, although the formula is valid not only for three arbitrary primes, but also for three integers. We can say that the reduced harmonic series generated by three primes (or by three integers) belongto special types 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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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Zborník vedeckých prác medzinárodného vedeckého seminára "Aplikácie matematiky - vstupná brána rozvoja matematických kompetencií"
ISBN
978-80-552-1047-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
84-89
Publisher name
Slovenská poľnohospodárska univerzita v Nitre
Place of publication
Nitra, Slovenská republika
Event location
Nitra
Event date
Jan 1, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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