Index
a, 9
Ak, 32
Au,, 32
b, 30
deti(x),
91
e
a
, 10, 32
e A i e h ) e p e v i
10
127
e£,32
g±Ti f^n ~n
GJL
»
e h ' ev
G, 20
Go, 21
G+, 54
0-lattice, 9
n , 135
h, 9
H C M ,
76
il3(x), 12
j*(z), 19, 30
j
f c
, 130
J K ,
77
[A;], 130
/CQ,
58
£ (field), 47
£ (group), 110
£o, 89
M(a,z), 26, 30
M/
p
( , ), 89
•Mfc,31
Ml, 208
Mu, 31
9K, 129, 254
v{x), 11
^o(x), 10
MO, 161
py(a,/3), 78
p(w), 78
¥*(*), 82
SP{ , ), 89
5^, 35, 208
S*, 208
5^,3 4
X(s,f,X), 173
il, 285
v, 9
Z £ , 5 0
Z(s, f,x), 173, 176
3^,208
abelian variety, 13
adelization, 9
anisotropic, 7
automorphic form, 32
automorphic function, 32
canonical model, 58
Case SP, 17
Case UB, 17
Case UT, 17
CM-algebra, 17
CM-field, 12
CM-type, 12
component of an automorphic form, 166
congruence subgroup, 27
cusp condition, 33, 103
cusp form, 34, 73
denominator ideal, 10
factor of automorphy, 18, 19
factor of automorphy of weight 1/2, 40, 254
field of moduli, 16
Gauss sum, 156
generic, 46
half-integral weight, 41
Hecke character, 129
integral weight, 41
involution of the endomorphism algebra, 15
isotropic, 7
lattice in a real vector space, 13
Mobius function, 163
metaplectic group, 252
modular form, 32
modular form of half-integral weight, 41
nearly holomorphic function, 100
PEL-type, 23
period symbol, 77
polarization, 14
polarized abelian variety, 14
301
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