Abstract
We give a short proof of Miki's identity for Bernoulli numbers,
∑
i
=
2
n
-
2
β
i
β
n
-
i
-
∑
i
=
2
n
-
2
n
i
β
i
β
n
-
i
=
2
H
n
β
n
for
n
⩾
4
where,
β
i
=
B
i
/
i
,
B
i
is the
i
th Bernoulli number, and
H
n
=
1
+
1
/
2
+
⋯
+
1
/
n
.
- Title
- On Miki's identity for Bernoulli numbers
- Creators
- Ira M Gessel - Brandeis University
- Publication Details
- Journal of number theory, Vol.110(1), pp.75-82
- Publisher
- Elsevier Inc
- Identifiers
- 9924086506701921
- Academic Unit
- Department of Mathematics
- Language
- English
- Resource Type
- Journal article