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Eichler M. — Introduction to the Theory of Algebraic Numbers and Functions
Eichler M. — Introduction to the Theory of Algebraic Numbers and Functions

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Название: Introduction to the Theory of Algebraic Numbers and Functions

Автор: Eichler M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1966

Количество страниц: 341

Добавлена в каталог: 11.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel's theorem      199 209
Abelian integral      213
Abelian variety      see "Variety"
Addition theorem      192 198 211
Antiautomorphism      see "Rosati adjoint"
Artin, E.      314 315
Associative law      240
Base units      see "Unit"
Basis      5
Basis, Complementary      10
Basis, theorem      5 13
Behnke, H.      141(2) 142
Berger, R.      79
Bounded ramification      see "Ramification"
Canonical class      see "Class"
Canonical system of incisions      189
Cartier operator      150ff
Cartier, P.      151
Cassels, J.W.S.      204
CHARACTER      219 275
Chevalley, C.      135 142 151(3)
Class, canonical      133ff 156ff
Class, differential      156ff
Class, divisor      22ff 80 120ff 179
Class, ideal      54 98
Class, principal      133
Complement      73ff
Complementary basis      see "Basis"
Complementary module      see "Module"
Component      21 67ff 88ff 128ff
Conforto, C.      204
Congruence subgroup      217ff
Conservative      157 174
Content      60
Convergence radius      110
Correspondence      233ff
Correspondence in extended sense      285ff
Correspondence, Frobenius      249 306
Correspondence, inseparable      246ff
Correspondence, modular      266ff 308ff
Correspondence, prime      245
Courant, R.      202
Cusp      217
Cusp, form      228 271ff
Davenport, H.      314 315
Decomposition group      104
Degree of a correspondence      235
Degree of a divisor      80 85 89 120 124 130
Degree of a linear divisor      23 89 130
Deuring, M.      114 174 184 200 202 244 266 314 315 319
Diagonal      167
Different      75ff see
Differential      147ff 158 223 252
Differential, class      see "Class"
Differential, exact      151
Differential, kind      155
Differential, quotient      143
DIMENSION      5 23 132
Dirichlet      see "Unit theorem"
Discriminant      29 75ff 96ff 228 278
Discriminant, theorem      77
Distortion ratio      263
Divisor      79ff 120ff 128ff see
Divisor of a differential      147 158ff
Divisor of fixed points      283 286ff
Divisor, diagonal      167
Divisor, different      89 128
Divisor, integral      121
Divisor, Kronecker      57 87
Divisor, linear      22 88 128
Divisor, principal      57 80 82 120ff
Divisor, system, nonspecialized      294
Divisor, unit      79 120
Dual space      10 128
Eichler, M.      19 231(2) 232 265 278(3) 280(4 4a) 281 314(4) 315
Eisenstein series      220 225
Elementary divisor theorem      7
Equivalence of correspondences      235 244 285
Equivalence of divisors      84 88 120 129
Equivalence of principal part systems      160
Equivalence, quasi      62
Falb, P.      157
Field of constants      1
Field of definition      133
Field of elliptic functions      190ff 315ff
Field, cyclotomic      106
Field, decomposition      106
Field, extension of      135ff
Field, inertial      91
Field, quadratic number      104
Finiteness criteria      7 12
Fixed points      260ff 282ff
Fixed points, number of      289
Fixed points, theorem      264
Frobenius      see "Correspondence"
Fueter, R.      228
Fundamental domain      39
Gauss sums      44ff
Generators, system of      6
Genus      133ff 188
Genus, relative      134
Genus, topological      188
Green's function      165ff
Grothendieck, A.      298 299
Hasse, H.      79 98 99 101 151 184 203 204 314 315
Hecke, E.      98 231 278(6) 279 280 281
Herglotz, G.      307
Hofmann, J.E.      204
Holomorph      220
Hua, L.K.      41
Hurwitz genus formula      135
Hurwitz, A.      202 242 266
Hyperbolic plane      36
Hyperbolic space      36
Ideal      5ff 53ff see "Norm"
Ideal, extension of      70
Ideal, integral      54
Ideal, prime      58 72
Ideal, prime, conjugate      91
Ideal, prime, regular      174
Igusa, J.I.      184 203 204 278
Inertia theorem      173
Inertial group      91
Inseparable extension      30 54 see
Integral(s) of first kind      196ff 204ff
Integral(s) of third kind      208ff
Integral(s), dependence      53
Invariance      86 135
Invariance, projective      81
Jacobian variety      see "Variety"
Kappus, H.      171 265
Klinger, H.      41
Knopp, K.      202
Kuga, M.      214
Kunz, E.      79 157
Lamprecht, E.      31 183 184
Lang, S.      204 213(1 2) 214
Lattice point theorem      14ff
Legendre relation      206
Legendre relation, symbol      44ff
Lemniscatic      204
Level      217
Linear divisor      see "Divisor"
Local ring      63ff
Local theory      3
Local uniformizers      187 214ff
Manifold      186ff
Mattuck, A.      183(7) 184 298 299
Meromorph      186 220
Meromorphism      316
Meyer, C.      99
Model      83 86 131
Modular correspondence      see "Correspondence"
Modular form      219ff 275ff
Modular function      43 220ff 266ff
Modular surface      214
Modular triangle      40 214ff
Module, complementary      10 22
Mordell, L.J.      203 204
Multiple      23 232
Multiplier      43 132
Nastold, H.J.      157
Nering, E.D.      184
Neron, A.      213(2) 214
Noetherian ring      11ff 61
Norm of divisors      85 124
Norm of ideals      70 93
Norm of linear divisors      23
Norm, absolute      300
Normal form      see "Weierstrass"
Normed      275
Order function      79ff 120ff 147ff 158
Order of a fixed point      265
p-component      21 67
p-constant      146
p-variable      146
Period      197 204ff 257
Period, matrix      204
Period, relation      204
Petersson, H.      171 231(4 6) 232 278 281
Pfetzer, W.      232
Place      20ff 64 79ff 120ff
Place, critical      114ff
Place, regular      114ff
Pole      110 148
Power series      110ff 133
Prime correspondence      see "Correspondence"
Prime element      64 112 124 147
primitive      221
Principal part system      160
Product of correspondences      236ff
Product of rings      234
Product, scalar, of principal part systems      160
Product, scalar, Petersson      273ff
Pseudocomplement      73ff 89
Pseudodifferent      75
Pseudodifferent, divisor      89
Pseudodiscriminant      30 75
Pseudotrace      30
Ramification      93 216ff
Ramification, bounded      253 271
Ramification, field      95
Ramification, group      94ff
Ramification, index      72 84 95
Ramification, irregular      95
Ramification, number      72 84 95
Ramification, regular      95
Rangachari, S.S.      315
Reciprocity law      47 139
Reflection automorphism      193ff
Regulator      104
Reiner, J.      41
Residue      151ff
Residue, class degree      72
Residue, theorem      153
Riemann surface      185
Riemann — Roch theorem      26 133ff 141
Roquette, P.      141 142 184 298 299
Rosati adjoint      241 259
Rosenlicht, M.      142
Saferevic, I.R.      190
Samuel, P.      91 95
Schiffer, M.      141(2) 142
Schmidt, F.K.      142 314 315
Schoeneberg, B.      232
Separable      30 131 143 149ff
Separating element      143
Serre, J.-P.      298
Shimura, G.      214 278 281 313 319
Siegel, C.L.      41 43 206
Sommer, F.      141(2) 142
Spencer, D.C.      141(1) 142
Subdegree      117
Symplectic, group      32ff 205
Symplectic, matrix      32 205
Symplectic, modular form      42
Symplectic, modular group      36
System of generators      6
Tamagawa, T.      142
Taniyama, Y.      315 319
Tate, J.      135 298 299
Teichmueller, O.      171
Theta function      41ff 44ff 232
Trace      27ff 122 259ff 283 291
Trace, formula      263
Transitivity formula      27 72
Translation automorphism      193ff
Tricomi, F.      203 204
Unimodular      7
UNIT      5 83
Unit, base      101 105
Unit, divisor      see "Divisor"
Unit, theorem      101
Vahlen, K.Th.      36
Van der Blij      278 281
Van der Waerden, B.L.      63 142
Variety, abelian      214
Variety, Jacobian      211ff
Weierstrass normal form      200
Weil, A.      141(11) 142 204 298 299 314 315
Weyl, H.      141(12) 142
Witt, E.      38 142
Wohlfahrt, K.      280 281
Zariski, O.      91 95 157
Zero      110 148
Zeta function      299ff
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