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Dickson L.E. Ч History of the theory of numbers. Volume 3: quadratic and higher forms
Dickson L.E. Ч History of the theory of numbers. Volume 3: quadratic and higher forms



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Ќазвание: History of the theory of numbers. Volume 3: quadratic and higher forms

јвтор: Dickson L.E.

язык: en

–убрика: »стори€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1992

 оличество страниц: 313

ƒобавлена в каталог: 16.07.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Forms of degree $n \ge 4$      262Ч268
Forms of degree $n \ge 4$, composition      268
Forms of degree $n \ge 4$, continual reduction      262Ч263 266Ч268
Forms of degree $n \ge 4$, determinant      263
Forms of degree $n \ge 4$, geometrical      266Ч268
Forms representing only cubic residues      292
Forms representing only quadratic residues      292
Forsyth, A.R.      199
Fourier series      98 137
Fourier, J.Bapt.J.      101
Frenicle de Bessy      2
Fricke, R.      32 70 106 130 137 142 150 177 197 200 221 231Ч233 272 see
Friedmann, A.      102 182
Frobenius, G.      33 35 49 50 54 285Ч286 287
Fuertwaengler, Ph.      261
Gamma function      42 129 157Ч158 164Ч165 170 243 245 251Ч252
Gauss sums      101 117 152 158 168 170
Gauss, C.F.      1 2 7 11Ч17 20 21 23Ч25 27Ч32 35 37 40 44Ч48 53Ч56 60Ч68 70Ч73 75 76 78Ч100 103Ч105 109 111 115 120 123Ч125 127 134Ч135 143 151Ч152 155 163 171 178Ч179 181 197Ч199 206Ч212 215Ч218 222 226 242 269 270
Gegenbauer, L.      38 39 134 143Ч144 146Ч147 155Ч156 230 243 265
Genocchi, A.      20 23 37 225 226
Gent, R.      31 229
Genus of surface, modular function, and subЧgroup      127Ч128 132
Geometry      see "Binary" "Forms" "Hermitian" "Lattice" "Modular" "Quadratic" "Ternary"
Gerardin, A.      54
Gierster, J.      92 117 127Ч128 130Ч132 138 140Ч142 150 177 185Ч187
Giraud, G.      233 252 283
Glaisher, J.W.L.      39 54 164Ч165 231
Glenn, O.E.      300Ч301
Gmeiner, J.A.      53
Goepel, A.      19 23 25 28 29 32 35
Goering, W.      30 188
Goetting, R.      122 154
Goldbach, Chr.      3
Goldscheider, F.      58
Goldschmidt, L.      19
Gosset, Th.      91
Got, Th.      217 222 223
Grandi, A.      290
Grave, D.A.      13 47
Graves, J.T.      64
Greatest integer symbol      37 132Ч133 136 146 244
Greatest integer symbol, generalised      181
Greatest integer symbol, modified      156 168
Group      40 63 69 70 85 86 90 126Ч128 132 152 197 199 201Ч202 221Ч222 224 230 232 244Ч245 270Ч272 274 276 278 281Ч283 289 294Ч296 300 see
Hacks, J.      150
Hardy, G.H.      50 252
Haussner, R.      99 150
Hazlett, O.C.      298 301
Hecke, E.      230 245
Heine, H.E.      198
Hensel, K.      202 286
Hermes, J.      36
Hermite, Ch.      1 10 19 21 22 26 30Ч32 49 51 68 92Ч93 106Ч107 109Ч117 120Ч122 124Ч126 133Ч136 143 145Ч148 157 160 169 174 182 187 191 194 196Ч197 206 210 212 214Ч215 217 219 226 234Ч235 237 239 242Ч243 245 247Ч248 251 255 257 260Ч263 265Ч267 269Ч271 273 279 282 284 289 290Ч291
Hermitian forms in n variables      279Ч283
Hermitian forms in n variables, continual reduction      282
Hermitian forms in n variables, determinant      280
Hermitian forms, binary      269Ч278
Hermitian forms, binary, class number      273 276Ч277
Hermitian forms, binary, continual reduction      271 273
Hermitian forms, binary, geometrical      271Ч272 274
Hermitian forms, binary, measure      275 277Ч278
Hermitian forms, binary, number of representations      273Ч275 277
Hewes, L.I.      91
Hilbert, D.      86 201 205 264
Holden, H.      118 171Ч174 179
Huebner, E.      31
Humbert, G.      33 51 52 88 92Ч94 98 100 109 114 117 120Ч122 161 174Ч178 180Ч182 185Ч189 191Ч193 223Ч224 229 231 233 245Ч247 252 273Ч278 283
Hurwitz, A.      32 35 40 42Ч45 51 53 92 117 128Ч129 136Ч138 140Ч145 150 154Ч155 162 167Ч168 175 177 179 224 300
Hurwitz, J.      200 201
Hyperabelian curve      88
Icosahedron equation      126Ч127 150
Infinite series      20 23 29 33 35 36 39 42 46 47 51 84 98 118 137 154 158 168 179 see
Integral, normalized      140Ч141
Invariant      see "Binary" "Modular" "Quadratic
Invariant equation      149
Invariant sub-group      40 128 132
Jacobi's symbol, (m/P)=(m/p)(m/p')..., if P is a product of odd primes p, p', ...      84
Jacobi, C.G.J.      17 19 20 55Ч59 98 103 111 113 114 145 160 166 225 234 235 273
Jacobsthal, E.      59
Jordan, C.      160 239 240 260 264Ч265 298 299 279 280 282 298Ч299
Joubert, P.      95 107 109Ч111 120
Julia, G.      51 223 233 266Ч268 274
Karpinski, L.      165 172
Kempinski, S.      222
Klein, F.      17 36 41 42 45 51 73 92 106 126Ч128 130Ч132 137 141Ч142 148 150 177 197 199Ч201 231 233 272
Klein, H.      212
Koenig, J.      198 201
Koenig, R.      70
Koenigsberger, L.      106
Kollros, L.      282
Korkine, A.      33 51 229 233 235 239 243 247 260 279
Kraser, A.      284
Krathwohl, W.C.      297
Kronecker's symbol, (D/h)      138 179
Kronecker, L.      28 37 39 45 58 59 85 86 92Ч93 95 100 105Ч106 108Ч109 111Ч115 117 119Ч120 124Ч125 127Ч130 134Ч140 143Ч144 148 149 151Ч153 156 160 163 165 168Ч170 175 178Ч183 185Ч186 191Ч192 194Ч195 197 284Ч287
Kuehne, H.      300
Kuepper, K.      35
Kummer, E.E.      90
L, Q, invariants      295
Lachtine, L.K.      41
Lagrange, J.L.      1 2 5Ч10 14 15 18 22 37 49 235 250 258 265
Lalesco, T.      77
Landau, E.      39 45 49 95 143 146 163 165 183Ч185 188 192 224 252
Landsberg, G.      287
Laplace, P.S.      9
Largest square $\le x$      133
Lattes, S.      287
Lattice      17 21 33Ч35 41 45 72 73 96Ч99 184Ч185 212 218 233 245
Le Vavasseur, R.      296
Lebesgue, V.A.      13 19 21 25 26 56 57 97 103 118 151 155 169 171 179 210 215 226 236
Legendre's symbol (a/b)      11
Legendre's symbol, $(k / \Theta)$      11
Legendre's symbol, generalized by Kronecker      138 151 183
Legendre, A.M.      1 9Ч11 17Ч20 22 26 54 61 67 73 85 87 94 114
Lehmer, D.N.      10 49 159Ч160
Lerch, M.      42 45 92 95 100 103 124 151 153Ч158 162Ч164 166 168Ч171 179 181Ч184 285
Levaenen, S.      73
Levy, F.      186 258
Lexell, A.J.      60
Libri, G.      224
Linear      see "Binary" "Substitution" "Ternary"
Liouville, J.      23 26Ч29 41 54 92 115Ч117 120Ч122 133 134 160Ч161 174Ч175 183 187 190 197 216 224 225 227Ч229 231 233 237 252 273
Lipschitz, R.      25 31 95 100 104Ч105 109 114 120 123 134 146 150Ч151 181 204Ч205 239 262
Lorenz, L.      29
Lucas, E.      54
Mainardi, G.      25
Malo, E.      54
Mantel, W.      51
Markoff numbers      50
Markoff, A.      1 33 50 222
Markoff, W.A.      213 222
Mathews, G.B.      22 32 41 67Ч69 91 98 104Ч105 150 200Ч201 205 257 258
Mathieu, E.      289 291
Matrices      63 68 284Ч288
McAtee, J.E.      298
Meissner, E.      116 174 183
Mertens, F.      16 35 42 44 49 53 60 70 73Ч75 77 87 88 95 123 134 143Ч144 151 155
Metrod, G.      54
Meyer, A.      213Ч214 217 219 221Ч223 245 259 262 275
Meyer, W.F.      223
Minding, F.      18
Minkowski, H.      45 47 222 223 235 239 241Ч245 247 252 262 268 287
Minnigerode, B.      29 199
Modul      70 73 128
Modular correspondence      128 130Ч132 140Ч142
Modular curve      126 150
Modular equation      105Ч107 110 120 125Ч126 128 130 140 148Ч150
Modular function      see "Elliptic"
Modular geometry      297Ч300
Modular group      51 125Ч127 130Ч131 140 197 274
Modular invariants      239Ч301
Moebius function $\mu$      123 147 152 169
Moebius, A.F.      123 147 152 169
Mordell, L.J.      53 91 113 115 160 188 190Ч195 197 213Ч214 223Ч224 257
Muth, H.      287
Nagel, T.      95 186
Nash, A.M.      91
Nasimoff, P.S.      204
Nazimow, P.      148
Neumann, C.      140
Nicoletti, O.      287
Norm N      198
Oltramare, G.      25 57 58
Osborn, G.      154
Pell equation      13 15 16 28Ч30 90 95 100 102Ч105 117 120 138 160 203Ч205
Pellet, A.E.      38
Pepin, T.      11 17 32 38 41 46 47 57 58 60 70Ч72 79 86 90 95 103 115 117 122Ч124 127 230 231 233 253Ч255 257 258
Perott, J.      90 91
Petr, K.      92 114 117 160Ч163 175 177Ч179 181 188Ч191 232 251
Pexider, J.V.      98 181Ч182
Pfeiffer, E.      143 146 184
Picard, E.      141 219 230 232 267 270Ч272 274 280Ч283
Plancherel, M.      179Ч180
Pocklington, H.C.      48 224
Poincare, H.      1 33 35 41 46 72 73 117 141 166 167 178 199 214 217 219 220Ч221 223 241Ч243 256 260Ч262 265 281Ч282
Poullet-Delisle, A.C.M.      64
Prebrazenskij, P.V.      41
Primary complex number      203
Prime, test for      22
Pund, O.      80 88
Quadratic characters in a half interval      98 101Ч103 122 137 151 170 173 182Ч183 196
Quadratic characters in a octant      97 101 125 172
Quadratic characters in a qth interval      172
Quadratic characters in a quadrant      97 101 157 172 178 196
Quadratic characters in a sextant      165 172
Quadratic characters in a tenth interval      165
Quadratic characters in a third interval      157 172
Quadratic characters in a twelfth interval      97 157
Quadratic characters in a twenty-fourth interval      165
Quadratic curves modulo p      297 299
Quadratic forms      see "Binary" "Class "Ternary" "Quaternary"
Quadratic forms in n variables      44 234Ч252
Quadratic forms in n variables modulo p      294 297Ч299
Quadratic forms in n variables with given automorph      248
Quadratic forms in n variables, automorphs      236 244Ч245 248 252
Quadratic forms in n variables, characters      238 241Ч242
Quadratic forms in n variables, classes      234Ч235 240 242
Quadratic forms in n variables, concomitant      237
Quadratic forms in n variables, equivalence      234 240 244Ч245 247Ч248
Quadratic forms in n variables, equivalence modulo m      241
Quadratic forms in n variables, equivalence of pairs      251
Quadratic forms in n variables, extreme      239 243 247 250
Quadratic forms in n variables, genera      236 238 241Ч242
Quadratic forms in n variables, geometrical      247 249Ч251
Quadratic forms in n variables, invariants      244
Quadratic forms in n variables, mass      see "Weight"
Quadratic forms in n variables, minima      235 239 245 249 251
Quadratic forms in n variables, number of representations      196 236Ч237 243 252
Quadratic forms in n variables, number of representations, mean      239 243 252
Quadratic forms in n variables, order      238 241
Quadratic forms in n variables, perfect      249
Quadratic forms in n variables, reduced      234Ч235 237 240 242Ч245 247 250
Quadratic forms in n variables, representation      236 240 242 244 246 see
Quadratic forms in n variables, weight      238 242Ч243
Quadratic residue      11 12 49 57 81 97 98 101 103 137 140 154 156 159Ч160 165 169 172Ч174 181Ч182 196 292 see
Quaternary quadratic forms      225Ч233
Quaternary quadratic forms, automorphs      232Ч233
Quaternary quadratic forms, classes      232
Quaternary quadratic forms, composition      226 231Ч233
Quaternary quadratic forms, minima      229 233
Quaternary quadratic forms, number of representations by      138 163 177 187 225 227Ч233
Quaternary quadratic forms, reduction      230 232Ч233
Quaternary quadratic forms, representation all positive integers      225 227 229 233
Quaternary quadratic forms, tables      230
Rabinovich, G.      95 186
Ramanujan, S.      233
Ranum, A.      287
Raussnitz, G.      290
Realis, S.      58 218
Reciprocity law quadratic residues      1 10 11 18 83 84 199
Representation by polynomials modulo p      289Ч292
Reuschle, C.G.      57 59
Riemann surface      126 130 140 142
Riemann, B.      140 141
right triangle      2
Rignaux, M.      54
Rinecker, F.      290
Roberts, S.      19 32
Rodallec      54
Rogers, J.L.      290-291
Sanderson, M.      300Ч301
Scarpis, U.      53
Schatunovsky, J.      49 54
Scheffler, H.      59
Schemmel, V.      117Ч119 151 172 181
Schering, E.      26 44 69 85 89 90 210
Schlaefli, L.      68
Schur, I.      33 49 50
Seeber, l.a.      206 210Ч213 215
Selling, E.      1 30 31 160 206 217Ч219 221 223 230 250
Serret, J.A.      289
Siegel, C.L.      224
Simerka, W.      67
Simerky, V.      28
Skrivan, G.      28
Smith, H.J.S      1 19 20 27Ч29 31 32 35 41 51 52 54 56 57 60 68 85 104Ч106 108Ч109 111Ч112 114 116 120 125Ч127 150 199 206 212 215Ч216 219 224 229 236Ч238 242Ч243 284 286
Smith-curve      126
Sommer, J.      47 70 86
Sommerfeld, A.      224
Speiser, A.      60 64 78Ч80 88 201 224
Spiess, O.      47
Squares, largest <x      133
Stern, M.A.      19 25 55 56 103 182
Stickelberger, L.      56 58
Stieltjes, T.J.      24 37 58 94 117 122 133Ч136 286
Stouff, X.      40 148 231 235Ч236 245 265
Substitution, Abelian      246
Substitution, adjoint      207
Substitution, analytic representation of      289Ч292
Substitution, classified      282
Substitution, elliptic      197 282
Substitution, equivalent      104 214
Substitution, even      53
Substitution, identity      16
Substitution, incongruent modulo m      243
Substitution, linear      248Ч288
Substitution, normal      32 126
Substitution, proper, improper      12
Substitution, rational coefficients      88 216 238 247Ч248
Substitution, reduced      240 260
Substitution, representative      127Ч128 131 141 149
Substitution, similar      214
Substitution, transposed      207
Suhle, H.      19
Sum of 2 squares      see "Binary"
Sum of 3 squares      109 113 133 144 161 185Ч186 194 206 211 214
Sum of 4 squares      138 144 163 177 187 189 236
Sum of squares      136 196
Symbols Cl, etc., for class number      93
T, U least positive solutions of $x^{2} - Dy^{2} = 1$      95
Tables      see "Binary" "Cubic" "Quaternary" "Ternary"
Tamarkine, J.      102 182
Tanner, H.W.Lloyd      44 59 291
Tannery, J.      214
Tarry, G.      297
Tchebychef, P.L.      20 22
Teege, H.      178
Ternary quadratic forms      206Ч224
Ternary quadratic forms and linear forms      220
Ternary quadratic forms, adjoint      206
1 2 3
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