WOLFRAM
|
DEMONSTRATIONS PROJECT
Dirichlet L-Functions near the Critical Line
​
f
u
n
c
t
i
o
n

L
(
s
,
χ
)

-
l
o
g
(

L
(
s
,
χ
)

)
m
o
d
u
l
u
s
1
2
3
4
5
6
7
8
9
1
0
i
n
d
e
x
1
c
e
n
t
e
r
p
o
s
i
t
i
o
n
a
l
o
n
g
c
r
i
t
i
c
a
l
l
i
n
e
2
0
r
a
n
g
e
o
f
p
l
o
t
2
0
h
o
r
i
z
o
n
t
a
l
r
a
n
g
e
a
r
o
u
n
d
c
r
i
t
i
c
a
l
l
i
n
e
r
e
s
t
r
i
c
t
t
o
c
r
i
t
i
c
a
l
s
t
r
i
p
m
e
s
h
P
l
o
t
o
f
D
i
r
i
c
h
l
e
t
L
-
f
u
n
c
t
i
o
n
s
n
e
a
r
t
h
e
c
r
i
t
i
c
a
l
l
i
n
e
.
T
h
e
h
e
i
g
h
t
o
f
t
h
e
s
u
r
f
a
c
e
g
i
v
e
s
t
h
e
a
b
s
o
l
u
t
e
v
a
l
u
e
;
t
h
e
c
o
l
o
r
g
i
v
e
s
t
h
e
p
h
a
s
e
.
