Very important question

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?

@Zacken
@physicsmaths
@TeeEm

Secret

I think @TeeEm has left TSR now.

@Zacken
@physicsmaths
@TeeEm

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.)

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 .