Distribution of Beurling primes and zeroes of the Beurling zeta function I. Distribution of the zeroes of the zeta function of Beurling

Szilárd Gy. Révész

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…