Definition:Absolute Convergence of Product/Complex Numbers/Definition 2

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Definition

Let $(a_n)$ be a sequence of complex numbers.


The infinite product $\displaystyle \prod_{n \mathop = 1}^\infty \left({1 + a_n}\right)$ is absolutely convergent if and only if the series $\displaystyle \sum_{n \mathop = 1}^\infty a_n$ is absolutely convergent.


Also see