Two general formulas for the sum of the reduced harmonic series generated by n primes

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Two general formulas for the sum of the reduced harmonic series generated by n primes
Original language description
This contribution is a follow-up to author´s papers dealing with sums of the reduced harmonic series generated by two, three, and four primes. These sums were determined analytically and computed by using CAS Maple. In this contribution two general formulas for the sum of the reduced harmonic series generated by n primes (and more generally also by n natural numbers) are derived and proved by mathematical induction. These series so belong to such special types of convergent infinite series, as geometricand telescoping series, which sums can be easy calculated 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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 13th Conference on Applied Mathematics APLIMAT 2014
ISBN
9788022741408
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
314-323
Publisher name
Slovak University of Technology in Bratislava, Publishing House of STU, Slovak Republic
Place of publication
Bratislava, Slovensko
Event location
Bratislava, Slovensko
Event date
Feb 4, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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