TY - JOUR
A1 - Steuding, Jörn
A1 - Suriajaya, Ade Irma
T1 - Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines
T2 - 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
UR - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/23262
UR - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-232621
SN - 1617-9447
VL - 20
ER -