Chebyshev's bias and generalized Riemann hypothesis

Adel Alamadhi, Michel Planat, Patrick Solé

It is well known that $li(x)>\pi (x)$ (i) up to the (very large) Skewes' number $x_1\sim 1.40\times 10^{316}$ \cite{Bays00}. But, according to a Littlewood's theorem, there exist in…