On curious properties of the general size-biased distribution
Number Theory
2026-04-14 v3
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.
Keywords
Cite
@article{arxiv.2412.19347,
title = {On curious properties of the general size-biased distribution},
author = {Alexander E. Patkowski},
journal= {arXiv preprint arXiv:2412.19347},
year = {2026}
}
Comments
Added more details