Hardy G.H., Wright E.M. — An Introduction to the Theory of Numbers :: Электронная библиотека попечительского совета мехмата МГУ

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Hardy G.H., Wright E.M. — An Introduction to the Theory of Numbers

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Название: An Introduction to the Theory of Numbers

Авторы: Hardy G.H., Wright E.M.

Язык:

Рубрика: Математика/Теория чисел/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: fourth edition

Год издания: 1975

Количество страниц: 421

Добавлена в каталог: 28.11.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

      133 139
$b\mid a$ , $b\nmid a$       1
      55
$f(x)\equiv g(x) (mod m)$       82
(Fermat number)      14
$g(x)\mid f(x) (mod m)$       83
$k(\rho)$       179
$k(\vartheta)$       204
$l(\tau)=e^{2\pi i\tau}$       54
(Mersenne number)      16
$N_\alpha$ (norm)      182 187 208
      6
, (convergents)      130
      137 140
$x\equiv a (mod m)$ , $x\not\equiv a (mod m)$       49
      74
$\beta\mid\alpha$ , $\beta\nmid\alpha$ , $\alpha\equiv\beta (mod y)$ (in k(i) and other fields)      182 188 208 219
$\chi(n)$       240
$\dfrac1i (mod m)$ , $\dfrac{b}{a} (mod m)$       89
$\epsilon$ (unity)      181 182 208
$\Lambda(n)$       253
$\mathcal{F}_n$ (Farey series)      23
$\mu(n)$       234
$\omega(n)$ , $\Omega(n)$       354
$\phi(m)$       52
$\pi(x)$       6
$\prod\limits_p f(p)$ , $\prod\limits_{p\mid n}f(p)$       48
$\vartheta(x)$ , $\psi(x)$       340
$\zeta(s)$       245
(a,b), (a,b,...,k)      20
(x), $\bar{x}$       156
a belongs to d (mod m)      71
Ahrens      128
Algebraic field      204
Almost all (integers)      8
Almost all (real numbers)      122
Anderson      243
Apostol      243
aRp, aNp, $0\dfrac{a}{P}$       67—68
Asymptotically equivalent, asymptotic to      8
Atkin      289 295
Atkinson      272
Austin      22
Bachet      115—117 202 315
Bachmann      81 106 153 189 202 216 243 272 295 388
Baer      335
Ball, Rouse      2 2
Bang      373
Bastion      338
Bateman      2 2
Bauer      98 99 101 103 104 106
Beeger      81
Berg      217
Bernes      217
bernoulli      90 91 202 245
Bernstein      168 177
Bertrand      343 373
Binet      199
Bocher      397
Bochner      189 232
Bohl      393
Bohr      22 259 388 393
Borel      128 168 177
Boulyguine      316
Brilka      128
Bromwich      259
Brun      296
Cantor      124 160 176
Carmichael      11
Cassels      128 412 413
Cauchy      36 168
Champernowne      128
Chatland      217
Chen      337
Cherves      153
Cherwell      272 374 F.
Chowla      106
Chrystal      153
Cipolla      81
Clausen      93
Copeland      128
Coprime      48
Coxeter      22
d(n), $\sigma_k(n)$ , $\sigma(n)$       238
Darling      295
Darlington      106
Davenport      vii 22 217 335 336 411—413
de la Vallee-Poussin      11 374
de Polignac      373
Dedekind      377
Democritus      42
Dickson      vii 11 22 36 80 81 106 128 153 201—203 217 243 295 315 316 335 337—339 373 412
Diophantus      201 202
Dirichlet      13 18 62 93 113 156 157 169 176 244 245 248 251 257 259 272 375
Duparc      81
Durfee      281
Dyson      176 177 289 295 296 413
Eisenstein      62 106 189
Enneper      296
Eratosthenes      3
Erchinger      62
Erdos      22 128 373 374
Errera      374
Escott      338
Estermann      22 316 336 386 393
Euclid      3 4 10—14 16 18 21 40 43 44 58 134 136 159 176 179—182 185 187 212—217 225 230—232 239 240 307 340
Euclidean construction      159
Euclidean field      212
Euclidean number      159
Eudoxus      40
Euler      14 16 22 39 52 62 63 65 80 81 90 163 199 201—203 219 243 246 259 264 274 277 280 284 285 287 289 295 315 332 338 347 351 373
Farey      23 29 30 36 37 268
Fauquembergue      339
Fermat      6 14 15 18 19 58 71—73 78; 81 85—87 105 202 219 222 231 299 300 332 338
Ferrar      397
Ferrier      16 22
fibonacci      148 150 153 223
Fine      295
Fleck      338
Franklin      286 295
g(k), G(k)      298
Gauss      10 14 39 47 54 58 62 63 73—76 81 106 178 179 182 185 189 243 272 295 303 316 400 412
Gegenbauer      272
Gelfond      47 176 177
Gerardin      203 339
Gillies      22
Gleisher      106 316 373
Gloden      338
Goldbach      19 22
Goldberg      81
Grace      301 315
Grandjot      62
Gronwall      272
Grunert      128
Gupta      289 295
Gwyther      295
hadamard      11 374
Hajos      37 412
Hall      373
Hardy      106 159 168 259 272 289 296 316 335 336 338 374
Haros      36
Hasse      22
Hausdorff      128
Heaslet      316
Heath      42 43 47 201
Hecke      22 93 159
Heilbronn      vii 212 213 217 336 413
hermite      47 177 315 412
Highest common divisor      20
hilbert      177 298 315 335 336

Hlawka      413
Hobson      128 176
Holder      243
Hua      336
Hunter      338
Hurwitz, Adolf      37 81 177 203 315 316 338 412
Hurwitz, Alexander      16 22
Ingham      11 22 232 259 373
jacobi      189 243 259 282 283 285 289 295 315 316
Jacobstal      106
James      22 335 336
Jensen      62
Jessen      393
k(1)      178
k(i)      179
Kalmar      373
Kanold      243
Kempner      335 338
Khintchine      177
Kiihnel      243
Kloosterman      56 62
Koksma      128 177 393 411 412
Kolberg      295
Konig      128 378 393
Korkine      412
Kraitchik      11 22
Krecmar      289 295
kronecker      62 375—378 382—384 386 388 390 392 393
Kulik      11
Kummer      202
Lagrange      87 93 98 153 197 302 315
Lambert      47 257
Landau      vii 11 22 37 62 81 177 201 202 232 243 259 272 316 335 336 373 374 412 413
Lander      339
Landry      15
Least common multiple      48
Lebesgue      128
Leech      203 339 374
legendre      63 68 80 81 202 315 316 320
Lehmer, D. H.      11 16 22 81 148 153 202 213 217 231 289 295 374
Lehmer, D. N      10 11 373
Lehmer, E.      202 374
Lehner      289 295
Leibniz      81
Letac      338
Lettenmeyer      384 386 393
Leudesdorf      101 106
Lindemann, F.      177
Lindemann, F. A.      22 (see also “Cherwell”)
Linear independence of numbers      379
Linfoot      213 217
Linnik      335
Liouville      161 176 316 338
Lipschitz      316
Littlewood      11 22 335 336 338 374 393
Lucas      11 16 22 81 148 223 225 231 232
Macbeath      412
Maclaurin      90
MacMahon      278 286 287 289 295
Mahler      339 413
Maillet      338
Mapes      11
Markoff      412
Mathews      62
mersenne      14—16 18 80 148 223 224 240
Mertens      272 351 373
Miller      16 22 81 295
Mills      373
Milne      v
min(x,y), max(x,y)      48
Minimal residue (mod m)      73
Minkowski      23 31 32 33 37 394 402 407 411—413
mobius      234 236 243 251 252 360
Moessner      339
Mordell      33 37 202 203 295 316 327 338 339 394 412 413
Morehead      15
Morse      243
Moser      373
Multiplicative function      53
Napier      8
Netto      295
Nevanlinna      374
Newman      231 287 295
Newton      328
Nicol      202
Niven      47 128 337
Nogues      202
Norrie      339
O, o, $\sim$ , $\prec$ , $^\smile_\frown$ , $\mid f\mid$ , A (unspecified constant))      7
Of the same order of magnitude      7
Oppenheim      2 17
P(k,j)      328—329
p(n)      273
Palama      338
Parkin      339
Patterson      339
Pearson      81
Pell      217
Perron      vii 153 177
Pervusin      16
Pillai      337
Plato      42 43
Polya      14 22 37 128 243 259 272 374
Ponting      v
Potter      vii.
Primitive root of m      71
Primitive root of unity      55
Prouhet      328 338
Pythagoras      39 40 42 43 47 201
Quadratfrei      16
r(n), ,       240—241
Rademacher      47 289
Rado      vii 93 412
Rama Rao      93 106
Ramanujan      55 56 62 201 237 243 256 259 265 272 287 289 290 291 295 296 316 373
Reid      217
Remak      413
Richmond      62 202 327 338
Riemann      245 259
Riesel      16 22
Riesz      259
Robinson      16 22 81
Rogers      290 291 296 413
rosser      202
Roth      176
Rubugunday      337
Ryley      202
Saltoun      315
Sastry      339
Schmidt      413
Schneider      177
schur      291 296 338
Seelhoff      16
Segre      203
Selberg, A.      296 359 360 373 374
Selberg, S.      374
Selfridge      16 22 81 202
Shah      374
Siegel      176 411 412
Sierpinski      393
Simple field      212
Skolem      295
smith      316
Sommer      216
Staeckel      374
Standard form of n      2
Stark      213 217
Stemmler      337
Subba Rao      339
Sudler      296

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