Self-approximation for the Riemann zeta function

In the paper we deal with self-approximation of the Riemann zeta function in the half plane $\Re s>1$ and in the right half of the critical strip. We also prove some results concerning joint universality and joint value-approximation of functions $\zeta(s+\lambda+id\tau)$ and $\zeta(s+i\tau)$. 10.1017/S000497271200084

Note on the number of divisors of reducible quadratic polynomials

DOI: 10.1017/S000497271800073