Lambert summation

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In mathematical analysis, Lambert summation is a summability method for a class of divergent series.

Definition[edit]

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[edit]

  • , where μ is the Möbius function. Hence if this series converges at all, it converges to zero.

See also[edit]

References[edit]