## Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

Please always quote using this URN: urn:nbn:de:bvb:20-opus-232621
• For an arbitrary complex number a≠0 we consider the distribution of values of the Riemann zeta-function ζ at the a-points of the function Δ which appears in the functional equation ζ(s)=Δ(s)ζ(1−s). These a-points δa are clustered around the critical line 1/2+i$$\mathbb {R}$$ which happens to be a Julia line for the essential singularity of ζ at infinity. We observe a remarkable average behaviour for the sequence of values ζ(δ$$_a$$).