Index
Aki 345
D(n), 482
Fk,N, 350
constant functions, 375
Laurent series expansion for, 352
Fk,n,N, 350
Laurent series expansion for, 354
G(a,6), 40
fundamental domain, 40
G(k)
invariant classes, 107
invariant functions, 230
G
f2fc+2
22
G W 2 ( T ) , 22
C / C ^ ^ C T ) , 363
LMiq), 180
N(k,m), 108
PN, 325
5
4
(n), 486, 488
formula, 305
Sm(k), 476
T4(n)
formula, 305
Tm(k), 476
r„(n), 448
Uk,n(f(r)), 358
y(fe), 215
dimension, 215
orthogonal basis, 221
quotients of functions, 228
Weierstrass points, 238
V'{k), 223
dimension, 215
Weierstrass points, 238
Vfe,M(/)(r), 359
Wfc;m,n(/), 391
X{G), 97
X(fc), 94
Xo(fc), 100
X0(fc), 175
Y(/c), 94
yfc)iV(T), 357
Z(fc), 93
D, 49
A, 439
A(r), 183
A ( T ) , 448
T(2), 23
fundamental domain for, 23
generators for, 23
r(fc,fc), 65
structure of, 65
r(p,g), 66
r/r(fc)
permutation action, 295
r0(fc), 113
a(fc), 328
0(r(fc,fc)), 349
/3(r0(fe)), 349
P(k), 328
x(3), 9
Xo, 94
?7-function, 241
77(r), 241, 289
j-function, 27, 183, 439, 447
congruences, 457
level n for prime 5, 458
level 1 for prime 2, 457, 462
level 1 for prime 3, 457
level 1 for prime 5, 457
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