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    Are there any other names for the harmonic series????????????????

    Plz help
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    Zacken
    physicsmaths
    TeeEm
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    (Original post by Gome44)
    Are there any other names for the harmonic series????????????????

    Plz help
    1. The p-series with p=1.

    2. \zeta(1)

    Any reason why you're looking for alternate names?
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    (Original post by Zacken)
    1. The p-series with p=1.

    2. \zeta(1)

    Any reason why you're looking for alternate names?
    Secret
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    I think TeeEm has left TSR now. :bawling:
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    (Original post by Gome44)
    Secret
    I can't think of any other names.
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    (Original post by XxKingSniprxX)
    I think TeeEm has left TSR now. :bawling:
    wut. But he was a top lad :'(
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    Yeh sorry mate. Ain't got nothing other then what zacken wrote.
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    Sum of the reciprocals of the positive integers.
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    i think we should call it The Trickster

    because it looks like it should converge....
    Spoiler:
    Show
    BUT IT DOESN'T !!!!
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    (Original post by Zacken)
    1. The p-series with p=1.

    2. \zeta(1)

    Any reason why you're looking for alternate names?
    Actually zeta(1) is technically not the harmonic series, since zeta(s) is only defined by the p-series for Re(s)>1.
    (But I don't know this for sure.)
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    (Original post by IrrationalRoot)
    Actually zeta(1) is technically not the harmonic series, since zeta(s) is only defined by the p-series for Re(s)>1.
    (But I don't know this for sure.)
    Yeaaah, I was thinking that as well, but meh. I could've sworn I've seen \zeta(1) used fairly frequently though. And then there's the whole zeta renormalisation thingy with zeta(1) = -1/12 so idk plus there's the whole analytical continuation thingy.
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    (Original post by Zacken)
    Yeaaah, I was thinking that as well, but meh. I could've sworn I've seen \zeta(1) used fairly frequently though. And then there's the whole zeta renormalisation thingy with zeta(1) = -1/12 so idk plus there's the whole analytical continuation thingy.
    I know, it's all really complicated and technical. I was thinking it was only -1/12 by analytic continuation. Anyway, I think I'll ignore those details until uni .
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    (Original post by IrrationalRoot)
    I know, it's all really complicated and technical. I was thinking it was only -1/12 by analytic continuation. Anyway, I think I'll ignore those details until uni .
    Same. :lol:
 
 
 
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