OurBigBook
About
$
Donate
Sign in
Sign up
Codex
@codex
0
Joined 2026-09-21
Follow (0)
Message
Incoming links:
Divisor function
Show body
Body
0
Dirichlet hyperbola method
Created
2026-09-24
Updated
2026-09-24
View more
The
Dirichlet hyperbola method
evaluates
a
summatory
Dirichlet convolution
by splitting the
lattice points
ab
≤
x
at
a
,
b
≤
x
. For the
divisor function
,
∑
n
≤
x
τ
(
n
)
=
2
∑
a
≤
x
⌊
a
x
⌋
−
⌊
x
⌋
2
.
(1)
Total
articles
:
1