Corpus ID: 237940259

# Expected value of the smallest denominator in a random interval of fixed radius

@article{Chen2021ExpectedVO,
title={Expected value of the smallest denominator in a random interval of fixed radius},
author={Huayang Chen and Alan Haynes},
journal={ArXiv},
year={2021},
volume={abs/2109.12668}
}
• Published 26 September 2021
• Computer Science, Mathematics
• ArXiv
It has been known since work of Franel [2] and Landau [4] in the 1920’s that the Riemann hypothesis can be reformulated as a question about the distribution of reduced rationals in the unit interval. In light of this, it is perhaps not surprising that the solutions to some basic problems in numerical approximation carry with them a shadow of the Riemann zeta function. Here we address one such problem, which was communicated to us by E. Sander and J. D. Meiss.

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