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Apéry's constant
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Mathematics
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Arithmetic
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Irrational numbers
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1970-01-01
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Apéry's constant
is
a
mathematical constant
denoted by \( \zeta(
3) \)
, and it is defined
as
the value of the
Riemann zeta function
at \(
s
=
3 \)
: \[ \zeta(
3
) = \sum_{
n
=
1
}^\infty \frac{
1
}{
n
^
3
} \] This
series
converges to
a
specific
numerical value, approximately \(
1
.2020569 \).
Ancestors
(6)
Irrational numbers
Numbers
Arithmetic
Fields of mathematics
Mathematics
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