Definition talk:Harmonic Numbers/General Definition

I agree - this "general harmonic number order r of n" $\harm r n$ is definitely a function taking two inputs and producing an output.

It is identical to the Riemann Zeta Function, but the sum stops at $n$ instead of going to $\infty$.

Ramanujan never called it anything - he just wrote it down as $\map {\phi_r} n$. Also worth noting, sometimes $\map {\phi_r} n$ meant the general harmonic number and other times it meant the Ramanujan Phi Function.

I'm fairly certain this idea predates Ramanujan.

My vote would be for "General Harmonic Function of n, order r", or something along those lines. --Robkahn131 (talk) 02:51, 29 January 2024 (UTC)

I prefer "general harmonic function order r of n" because then the parameters appear in the order they appear in both the notation and the $\LaTeX$ and it stops it getting confusing for we non-mathematically-literate types. --prime mover (talk) 08:23, 29 January 2024 (UTC)

The trouble is the confusion with the concept of the harmonic function which I was trying to avoid. --prime mover (talk) 08:24, 29 January 2024 (UTC)