On a function of Marcel Riesz
Gene Ward Smith
TL;DR
This paper derives formulas for the Riesz function, related to the Riemann hypothesis, and discusses its behavior to better understand its properties and implications.
Contribution
It introduces new formulas for calculating the Riesz function and analyzes its behavior, contributing to the mathematical understanding of functions connected to the Riemann hypothesis.
Findings
Derived explicit formulas for the Riesz function
Analyzed the asymptotic behavior of the Riesz function
Provided insights into its role in the context of the Riemann hypothesis
Abstract
Formulas for calculating the Riesz function, introduced by Marcel Riesz in connection with the Riemann hypothesis, are derived; and the behavior of the Riesz function is discussed.
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Taxonomy
TopicsStatistical Mechanics and Entropy · advanced mathematical theories · Advanced Thermodynamics and Statistical Mechanics