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Harmonic number
(
H
n
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Number theory
Analytic number theory
Created
2026-09-24
Updated
2026-10-13
0
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The
n
th
harmonic number
is
H
n
=
∑
k
=
1
n
1/
k
. Its
asymptotic expansion
begins
H
n
=
lo
g
n
+
γ
+
2
n
1
+
O
(
n
−
2
)
,
(1)
where
γ
is the
Euler--Mascheroni constant
.
Ancestors
(5)
Analytic number theory
Number theory
Area of mathematics
Mathematics
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