Density estimates for the zeros of the Beurling ζ function in the critical strip
Density estimates for the zeros of the Beurling ζ function in the critical strip
We prove three results on the density resp. local density and clustering of zeros of the Beurling zeta function $\zeta(s)$ close to the one-line $\sigma:=\Re s=1$. The analysis here brings about some news, sometimes even for the classical case of the Riemann zeta function. Theorem 4 provides a zero density …