Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$
We prove a series of density theorems for Riemann's zeta-function for the number of zeros lying near the boundary line ${\rm Re}\,s = 1$ of the critical strip. In particular, we improve the constant appearing in the exponent of the Halász–Turán density th