Lambert summation
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In mathematical analysis, Lambert summation is a summability method for a class of divergent series.
Contents
Definition
A series is Lambert summable to A, written , if
If a series is convergent to A then it is Lambert summable to A (an Abelian theorem).
Examples
- , where μ is the Möbius function. Hence if this series converges at all, it converges to zero.
See also
References
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