2 papers
math.NT2024
Equivalent criteria for the Riemann hypothesis for a general class of -functions
Meghali Garg, Bibekananda Maji
In 1916, Riesz gave an equivalent criterion for the Riemann hypothesis (RH). Inspired from Riesz's criterion, Hardy and Littlewood showed that RH is equivalent to the following bou…
math.NT2022
Riesz-type criteria for the Riemann hypothesis
Archit Agarwal, Meghali Garg, Bibekananda Maji
In 1916, Riesz proved that the Riemann hypothesis is equivalent to the bound $\sum_{n=1}^\infty \frac{μ(n)}{n^2} \exp\left( - \frac{x}{n^2} \right) = O_ε \left( x^{-\frac{3}{4} + ε…