High Quality Content by WIKIPEDIA articles! In mathematics, abelian and tauberian theorems relate to the meaningful assignment of a value as the "sum" of a class of divergent series. A large number of methods have been proposed for the summation of such series, generally taking the form of some linear functional L with domain contained in some space S of numerical sequences. That is, firstly, a useful method for attributing a sum to a series that doesn't converge should at least be linear. Secondly, the sequence of partial sums of the series is considered, which is an equivalent way of presenting it.

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