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math.NT2022
Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis
Meghali Garg, Bibekananda Maji
In the present paper, we prove that the generalized Riemann hypothesis for the Dirichlet -function is equivalent to the following bound: Let and be po…
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…