Corrigendum for "The generalized strong recurrence for non-zero rational parameters" Archiv der Mathematik 95 (2010), 549-555
Abstract
In the present paper, we prove that self-approximation of
logζ(s)
with
d=0
is equivalent to the Riemann Hypothesis. Next, we show self-approximation of
logζ(s)
with respect to all nonzero real numbers
d
. Moreover, we partially filled a gap existing in "The strong recurrence for non-zero rational parameters" and prove self-approximation of
ζ(s)
for
0≠d=a/b
with
|a−b|≠1
and
gcd(a,b)=1
.