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  • It is well known that the harmonic series diverges. In this paper we present a few various decompositions of the harmonic series into two subseries. Some of these subseries diverge, e.g. the series of reciprocals of the even numbers or the series of reciprocals of the primes. But another ones surprisingly converge, as e.g. so-called Kempner's series.
  • It is well known that the harmonic series diverges. In this paper we present a few various decompositions of the harmonic series into two subseries. Some of these subseries diverge, e.g. the series of reciprocals of the even numbers or the series of reciprocals of the primes. But another ones surprisingly converge, as e.g. so-called Kempner's series. (en)
Title
  • Some interesting decompositions of the harmonic series
  • Some interesting decompositions of the harmonic series (en)
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  • Some interesting decompositions of the harmonic series
  • Some interesting decompositions of the harmonic series (en)
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  • RIV/60162694:G43__/09:#0002953!RIV10-MO0-G43_____
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  • 342353
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  • RIV/60162694:G43__/09:#0002953
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  • infinite series, harmonic series, decompositions of harmonic series, convergence, divergence, Kempner's series (en)
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  • Sborník abstraktů 18. semináře %22Moderní matematické metody v inženýrství%22
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  • POTŮČEK, Radovan
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  • Vysoká škola báňská - Technická univerzita Ostrava
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  • 978-80-248-2118-4
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  • G43
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