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arXiv · 2412.19347

On curious properties of the general size-biased distribution

Alexander E. Patkowski
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Abstract

We offer further results on a general size-biased distribution related to the Riemann xi-function we presented in [9] using the work of Ferrar. Curious properties associated with its expected value are presented, which are related to special functional equations. We also relate our observations to some recent developments related to the Riemann hypothesis.

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Alexander E. Patkowski. 2024-12-26. On curious properties of the general size-biased distribution. https://arxiv.org/abs/2412.19347

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