TY  - JOUR
A1  - Steuding, Jörn
A1  - Suriajaya, Ade Irma
T1  - Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines
JF  - Computational Methods and Function Theory
N2  - 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\(_a\)).
KW  - Riemann zeta-function
KW  - value-distribution
KW  - critical line
KW  - Julia line
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-232621
SN  - 1617-9447
VL  - 20
ER  -