@article{SteudingSuriajaya2020, author = {Steuding, J{\"o}rn and Suriajaya, Ade Irma}, title = {Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines}, series = {Computational Methods and Function Theory}, volume = {20}, journal = {Computational Methods and Function Theory}, issn = {1617-9447}, doi = {10.1007/s40315-020-00316-x}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-232621}, pages = {389-401}, year = {2020}, abstract = {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\(_a\)).}, language = {en} }