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Dickson L.E. — History of the Theory of Numbers, Volume I: Divisibility and Primality |
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Предметный указатель |
Montucla 19 (16 36)
Moore 87 247 460 89)
morale 345—346
Moreau 57 80 131 134 413 81 86 136)
Morehead 94 355 376 379
Morel 167 456
Moresu 198
Moret-Blanc 23 57 98 122 144 168 397 457
Morley 273
Mosaic 212
Moschietti 332
Moulton 465
Muir 168 169
Multinomial coefficient 59 266—278
Multiply perfect 33
Munyos 4
Murer 175
Murphy 186 408
Nachshon 39
Nachtikat 316
Nannei 344 462
Nasimof 145 (146)
Nasso 32 345
Nazarevsky 378
Nazimov (448 see
Neikirk 251
Neomagus 8
Netto 410
Neuberg 263 266 333 410
Neumann 350 359
Newton 51 (53)
Nicholson 81 101
Nicita 4ll
Nicomachus 3 347
Niegemann 339 344 366
Nielsen 62 89 96 99 102 103 112 146 274 278
Niewenplowski 96 345
Niewiadomski 32 406
Nim (game) 460
Nocco 21 (28)
NOEL 341
Nombres associes 50
Nordlund 137 176 200 370—371
Norm 236 252 322
Normal order 325
Novarese 25 (26)
Noviomagus 8 (356)
Number of divisors 51 54 135—136 142 279—325 328 443 451
Number of integers divisible by nth power 327—332
Number of solutions of 313
Number of solutions of 125 149 291 298 308 312 317 324
Numerical integrals and derivatives 152 449
Oakes 352
Oben 198
Oberreit 161 349
Occhipinti 136
Oliver 166
Oltramare 142 189 190 253 277 420 254)
Oppeimann 435
Order modulo m 138
Order of root 189
Orlandi 138
Orlando 137
Osana 465
Osborn 96 99
Oskamp 340
Ostrogradsky 185 (186 188)
Ottinger 75
Otto 340
Oughtred [11]
Ouspensky 376
Ozanam 15—17 36 41 56 349 20)
O’Shaughnessy 465
Paci 430
Paciuolo 6 337 19)
Paganini 47 (49)
Palmstroem 108
Palmstrom 458—459 (461)
Panizza 106
Paoletti 346
Paoli 407
Partial fraction 73 135 161 198 410
Partition 279 290 292 303 312 427 438
Pascal 269 337 420 342 344—346)
Pasternak 178
Patrone 349
Pauli 15
Peacock 50
Peano 53 [59]
Pedal triangle 86 388 402
Peletier 8
Pell [347]
Pell equation 56 367—368 393
Pellet 25 85 167 243 245 246 406
Pentagonal number 279 292 312
Pepin 23 28 47 122 197 213 244 364 376 384—386 398 401 377—380)
Perfect number 3—33 38
Perfect number of second kind 58
Period 133 182 202 207
Periodic fraction 75—76 82 92 159—179 193 202 339—341 371 379 386 454
Perisco 346
Perkins 163 456
Permat 53 54 56
permutations 78—80 131 136
Perott 80 88 99 126 194 196 197 352 413—414 127 131)
Perrin 341 404 410
Perrott 48
Pervouchine 376—378
Pervusin 25 376
Pessuti 269
petersen 75 272 360 80 81)
Petr 81
Petrovitch 434
Petzvai 352
Pexider 320 433
Pfeiffer 305 (322)
Philiatrus 15
Philo 3
Piccioli 84 261 407 460
Pichler 134 335
Pick 345
Picou 218
Picquet 85
Pierce 262 407
Pietzker 345
Pigri 348
Piltz 291 416 322 325)
Pinaud 344
Pincherle 80 267 409
Pistelli [4]
Plakhowo 342
Plana 21 74 106 383 22 24 29 109 112 281)
Plateau 456 (460 463)
Plateau’s theorem 456 460 463
Plato 51
Pleskot 109
Pluperfect 33
Plus quam-perfectus 3
Pocklington 82 222 370 390 419 428
Poetius 348
Poggendorff [11]
Poinsot 71 95 117 183 184 187 208 209 224 76 101 114 190 194 199 207 208 259)
Pokorny 166
Pollak 108
Pollock 73
Polpi 346
Polygon, curvilinear 85
Polygon, inscribed in cubic curve 85 150
Polygon, regular 71 75 133 139 193 375
Polynomial in x divisible by m for every x 87 89 336
| Polynomial, divisors of 384 393—394
Poretzky 130 (356)
Poselger 66 162
POSSE 201 202 203 221
Postello 9
Postula 143
Poulet 50
Powers 30 32
Prestet 15 52
Primary function 240
Prime functions see “Irreducible”
Prime pairs 353 425 438
Primes 7 (see also “Difference” “Highest”)
Primes represented by polynomials 333 414 418 420—421
Primes represented by quadratic forms 417
Primes, asymptotic distribution of 439 449
Primes, density of 329 416
Primes, in arith. progression 425
Primes, infinity of 413
Primes, infinity of, in arith. progressions 85 395 415—420 436
Primes, large 352—354 362 365 386 388
Primes, law of apparition of 396 398 406
Primes, law of repetition of 396—398
Primes, miscellaneous results on 436—439
Primes, number of 352—354 429—435 450
Primes, product of 126
Primes, sum of two 421—424 435
Primes, tables of 347 381
Primes, test for 35 276 302 305 360—365 370 374 376—378 380 396—404 426—428 445
Primes, to base 2 22 353—354
Primitive -root 202
Primitive divisor of 388
Primitive non-deficient number 31
Primitive number 327 334
Primitive root 63 65 72 103 117 181—204 222 378—379
Primitive root of unity 133 136
Primitive root, imaginary 235—252
probability 138 302 308 328 330 333 335 407 438
Product of consecutive integers 79 263—264 269 331
Product of differences 269
Product of divisors 58 332
Prompt 81 83 406
Pronic 357
Proth 92 106 377 435 378 398)
Prouhet 72 164 118 140 188 150 194 208)
Pudlowski 12
Pujo 52
Pullich 157
Puteanus 11 (14)
Putnam 30 102
Pythagoreans 4 5 38
Quadratic forms 109 130 158 207 210 219 276 318 330 361—365 369—370 400 415—418 420—421
Quadratic residues 23 25 29 65—68 71 76 92 109 165 185 189 190 196—198 202 210 213—214 218 221 23l 240 245—246 253—255 275 277 360 363 365 373 382 393 395—396 403
Quasi-Mersenne number 390
Quotient 109 112
Quotient 102 105—112
Radicke 125 291
Radio 45
Rados 222 226 233 261 262 428
Rahn (Rhonius) 347
Rallier des Ourmes 348
RAM 274
Ramanujan 323—325
Ramesam 31
Ramus 9
Rank see “Matrix”
Ranum 137 410
Ratat 140
Raussnitz 226
Rawson 99 367
Realis 384 404
Recorde 9 33 337
Recurring series 376—377 393—411
Recurring series, algebraic theory of 407
Reducible law of recurrence 409—410
Redundantem 3 4
Rees 351
Regius 7
Remainders on dividing n by 1, ..., n 290 313 327—331
Remak 138 (132)
Reuschle 21 165 169 190 213 382—383 31 172 174 176 200 204)
Reyer 165 344
Reymond 374 (356)
Reynolds 176
Ricalde 32 93
Riccati 407
Richelot 185 (194)
Ricke 96 173
Riemann 439
Riess 342
Ripert 343 423 425
Roberts 303
Robertson 159 (160)
Rochette 188
Rogel 87 126 133 134 267 272 316 325 331 429 431 433—434
Romm [337]
Roots of unity 133 136 183—184 245 250 256 419
Rosenberg 352 (355)
Rosenthal 349
Ross 336
Rothe 332
Rubin [3]
Rudio 54
Ruffus 7
Ruggieri 405
Runge 302
Rutherford 455
Sachs 175
SAINT 453 (456)
Saint-Loup 330 353
Salmon 168
Salomon 351
Sampson 455
Sancery 193 213 195 397)
Sanderson 155 252
Sang 157
Sanio 167
Sanjana 389
Sanvitali 338
Sardi 74 97 167 288 426)
Sarrus 92
Satunovskij 231
Sauer 88
Saverien 19
Scarpis 81 82 139 252
Scboencmann 225 236 238 239
Scbuh 202 (221)
Schaffgotsch 64 349 367 426)
Schallen 351
Schapira 93 188 354
Schatunovsky 370
Schatunowsky 132 (134)
Scheffler 190 194 378 385 416 431
Scheibner 408
Schemmel 147
Schenmarck 350
Schepp [420]
Schering 76 382 418 81 208)
Scherk 90 91 411 436
Schlegel 340 411
Schloemilch 73 171 272
Schmidt 79
Schoenbaum 269
Schoenemann 69 84 265
Schoenflies 403
Schonero [9]
Schooten see “Van”
Schroeter 161 168 314 319 321 346
Schub 83
Schubert 32 64
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