Explicit formula and quasicrystal definition

J. Arias de Reyna

We show that the Riemann hypothesis is true if and only if the measure $$\hat{I}¼=-\sum _{n=1}^{\infty }\frac{\hat{I}›(n)}{\sqrt{n}}(\hat{I}{´}_{\log n}+\hat{I}{´}_{-\log n})+2\cosh (x/2)dx$$ is a tempered distr…