Abstract
AbstractWe present generalizations of some results on the integer parts of the reciprocal remainders of the zeta function $\zeta (s)$
ζ
(
s
)
with $s=2$
s
=
2
and $s=3$
s
=
3
, and a very short and elegant proof of a recent result on the integer parts of the reciprocal remainders of the series $\zeta (3)$
ζ
(
3
)
. We also give some historical and theoretical remarks to problems of this type, conduct some analyses, and make some connections with the theory of linear difference equations with constant coefficients.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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