Algebraically dependent, algebraically independent 89 90
Analytic class invariant 75
Automorph 38
Biholomorphic 47
CHARACTER 92
Class number 37
Completion of squares 21
Congruence subgroup 67
Congruent modulo I 67 118
Cusp form 83
Degree 46 78
Divisor, left divisor, right divisor, total divisor 10 11
EISENSTEIN-series 152 155
Elementary divisor theorem 16
Elementary set 33
Even,  -even 107
FOURIER-expansion 73 77 79 93
Fundamental domain 6 35 65 69
Fundamental relations 43
Group of units 4
Hadamard's inequality 24
Half-space 46
HERMITE's inequality 29
Hermitian matrix 20
Holomorphic 47 101
Imaginary part 46
Integral matrix 15
Integrally equivalent 28
Invariant element 7
JACOBIan representation 25
KOECHER's principle 76
Lattice, dual lattice 3 12
Level of a congruence subgroup 67
| Level of a matrix 119
Main theorem of reduction theory 35
Meromorphic 183
Minimum 28
MINKOWSKI'S conditions of reduction 29
Modular form 78 92
Modular function 183 189
Modular group 54
Modular transformation 54
Number of representations 38
Ordering 3
POINCARE'-series 159 162
Positive definite, positive semi-definite 23
Principle congruence subgroup 67
Quaternions, quaternions of HURWITZ, even quaternions 2 4 13
Real part 2 46
Reduced matrix 29
Scalar product 166
SIEGEL's  -operator 83
SIEGEL's elementary set 63
Singular modular form 126
Stable modular form 129
Stable, -stable 113
Symmetric modular form 96
Symplectic group 43
Symplectic transformation 50
Symplectic volume element 53
Theta-group 67
Theta-series 101
Theta-transformation-formula 111
Trace 20
Unimodular group 15
Vertical strip 148
Weight 78 92
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