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## #101 2016-11-26 10:35:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: A zeta-like sum

Yes, the value of the error is less than the absolute value of the first neglected term.

I did a much easier one you can look at as an example over here:

http://math.stackexchange.com/questions … 25#1240125

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #102 2016-12-16 23:29:06

zetafunc
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Registered: 2014-05-21
Posts: 2,200
Website

### Re: A zeta-like sum

My supervisor says that it might be best to estimate the sum by an integral instead. In other words, instead of

we consider

There will be singularities, but he says that they won't lead to divergence in this case. The integral

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## #103 2016-12-17 04:28:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: A zeta-like sum

That integral looks tough too.  Have you applied M to it?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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