On 30 January 2014 11:56, Russell Standish <[email protected]> wrote:

>
> It's the concept of Cesaro 1-summability that I was dimly recalling
> (page 125), but on page 126, it appears the same result is achieved by
> Abel summability, which is more general.
>

Is Abel the person after whom "Abelian" is named?

>
> Getting back to the sum of the integers - the Abel sum is the zeta
> function, and the analytic continuation of such is the value of -1/6
> that's been quoted.
>

OK... I may have to take that on higher authority.

>
> It's one of those funny little topics taught in second year maths
> without any context, and which is almost immediately forgotten as
> useless.
>

I assume that is the second year at university, not school.

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