498 
A MEMOIR ON THE SINGLE AND DOUBLE THETA-FUNCTIONS. 
[704 
The double theta-functions. 
1. 
2. 
3. 
4. 
5. 
6. 
7. 
8. 
Asterisk 
denotes the 
odd functions. 
Current 
number. 
Character. 
Single-and- 
double-letter, 
Cayley. 
Gopel. 
Gôpel- 
Cayley. 
Rosenhain. 
Weier- 
strass. 
Kummer. 
So . 
o o 
o o 
=*} 
BD 
F" 
A 
s 22 
12 
1 
10 
00 
CE 
R" 
74 
32 
4 
8 
2 
01 
00 
CD 
Q'" 
& 
23 
01 
10 
3 
11 
00 
BE 
S'" 
33 
23 
6 
4 
00 
10 
AC 
F 
Pi 
02 
34 
4 
* 
5 
10 
10 
C 
iR 
Pi 
12 
3 
16 
6 
01 
10 
AB 
Q’ 
Qi 
03 
2 
2 
* 
7 
11 
10 
B 
iS' 
Si 
13 
24 
14 
8 
00 
01 
BC 
P" 
p. 
20 
12 
9 
9 
10 
01 
DE 
R' 
R, 
30 
03 
5 
* 
10 
01 
01 
F 
iQ" 
Qi 
21 
02 
11 
* 
11 
11 
01 
A 
iS" 
S 2 
31 
13 
7 
12 
00 
11 
AD 
P 
P 
00 
0 
1 
* 
13 
10 
11 
D 
Π
R 
10 
04 
13 
* 
14 
01 
11 
E 
iQ 
Q 
01 
1 
3 
15 
11 
11 
AE 
S 
S 
11 
14 
15