Prove the equalities

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I have to fine the following equality

$ \sum^{n-1}_{m=0} \frac{1}{(n-m)p} = neH_n$

where $H_n = 1 + 1/2 + 1/3 + .... 1/n$

My Solution:

$ \sum^{n-1}_{m=0} \frac{1}{(n-m)p} = \frac{1}{n} + \frac{1}{n-1} + \frac{1}{n-2} + ... + \frac{1}{1} = \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + .. \frac{1}{n} = \sum^{n}_{m=1} \frac{1}{mp} $

$ \frac{1}{p}\sum^{n}_{m=1} \frac{1}{m} = \frac{1}{p}H_n$

How can I proceed further to get $neH_n$

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OMG... extremely sorry I missed one subtle note somewhere in the text of the paper.... $p≈1/ne$ (where again e is the Euler's constant)...

Thanks guys for your help Should I delete the question or post this answer as a separate answer since this is not a very complex problem or innovative solution?