Jessen–Wintner theorem

In mathematics, the Jessen–Wintner theorem, introduced by Jessen and Wintner (1935), asserts that a random variable of Jessen–Wintner type, meaning the sum of an almost surely convergent series of independent discrete random variables, is of pure type.

References

Jessen, Borge; Wintner, Aurel (1935), "Distribution Functions and the Riemann Zeta Function", Transactions of the American Mathematical Society, Providence, R.I.: American Mathematical Society, 38 (1): 48–88, doi:10.2307/1989728, ISSN 0002-9947, JSTOR 1989728

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