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Category:Number theory

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43:
and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the
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The following 163 pages are in this category, out of approximately 217 total.
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This category has the following 19 subcategories, out of 29 total.
498: 346: 40: 474: 387: 93: 78: 1568: 86: 44:questions investigated. See for example the 774:Formulas for generating Pythagorean triples 1165:Noncommutative unique factorization domain 1000:An Introduction to the Theory of Numbers 592:This list may not reflect recent changes 1569: 1536:Weyl's inequality (number theory) 759:Proofs of Fermat's little theorem 188: 13: 995:Inter-universal Teichmüller theory 601: 546:Unsolved problems in number theory 200: 187: 14: 1593: 1083:Minimal polynomial of 2cos(2pi/n) 587:Pages in category "Number theory" 39:concerned with the properties of 928:History of the Theory of Numbers 1331:Residue-class-wise affine group 1519:Vorlesungen über Zahlentheorie 1383:Short integer solution problem 1160:Non-integer base of numeration 1150:New York Number Theory Seminar 866:Grothendieck–Teichmüller group 799:List of mathematical functions 707:Elliptic divisibility sequence 1: 1358:Schoof–Elkies–Atkin algorithm 727:Euler's totient function 717:Erdős–Tenenbaum–Ford constant 1088:Mirimanoff's congruence 943:Hooley's delta function 888:Haran's diamond theorem 645:Distribution (number theory) 585: 46:list of number theory topics 7: 1393:Signed-digit representation 1294:Quadratic irrational number 1277:Prouhet–Thue–Morse constant 1267:Probabilistic number theory 1113:Multiplicative independence 1103:Multiplicative digital root 816:Gan–Gross–Prasad conjecture 697:Eisenstein–Kronecker number 640:Disquisitiones Arithmeticae 10: 1598: 841:Glaisher–Kinkelin constant 836:Generalized taxicab number 804:List of types of functions 635:Dirichlet series inversion 630:Dirichlet hyperbola method 16:The main article for this 15: 1458:Sylvester's sequence 1438:Squared triangular number 1403:Skew binary number system 1316:Random Fibonacci sequence 1212:P-adic Teichmüller theory 990:Integer-valued polynomial 923:Hilbert's inequality 846:Glossary of number theory 769:Fontaine–Mazur conjecture 215:Diophantine approximation 1448:Strict differentiability 1368:Schwartz–Bruhat function 1175:Number Theory Foundation 1118:Multiplicative partition 1027:Journal of Number Theory 737:Extended natural numbers 732:Eventually (mathematics) 522:Squares in number theory 408:Multiplicative functions 256:Elementary number theory 1363:Schoof's algorithm 1227:Persistence of a number 1108:Multiplicative function 1093:Moessner's theorem 898:Harmonic divisor number 702:Elkies trinomial curves 55:corresponds roughly to 1475:Tate–Shafarevich group 1418:Solenoid (mathematics) 1005:Irrationality sequence 655:Divisor sum identities 428:Number theory journals 1582:Fields of mathematics 1480:Tate's algorithm 1336:Ring of modular forms 1299:Quadratic reciprocity 1202:P-adic gamma function 1155:Niven's constant 1061:Least common multiple 948:Hundred Fowls Problem 933:Hodge–Arakelov theory 821:Gauss composition law 764:Fifth power (algebra) 232:Diophantine equations 1577:Discrete mathematics 1408:Skewes's number 1311:Ramanujan's sum 1242:Prime omega function 963:Hyperharmonic number 953:Hurwitz class number 861:Gregory coefficients 794:Fueter–Pólya theorem 1553:Znám's problem 1531:Weil–Châtelet group 1433:Square-free integer 1289:Q-Pochhammer symbol 1197:P-adic distribution 1180:Numerical semigroup 985:Integer square root 883:Hall–Higman theorem 566:Number theory stubs 276:Geometry of numbers 1257:Primefree sequence 918:Maria Heep-Altiner 826:Gauss's diary 374:Modular arithmetic 296:Integer partitions 1272:Prosolvable group 1145:Néron–Tate height 938:Hodge–Tate module 878:Half-period ratio 712:Erdős arcsine law 682:Egyptian fraction 333:Langlands program 313:Integer sequences 35:is the branch of 1589: 1502:Upper half-plane 1321:Redheffer matrix 856:Granville number 650:Divisor function 615:Deformation ring 571: 551: 544: 527: 507: 500: 483: 476: 466: 453: 433: 413: 406: 396: 389: 379: 372: 355: 348: 338: 318: 311: 301: 281: 261: 254: 237: 230: 220: 213: 1597: 1596: 1592: 1591: 1590: 1588: 1587: 1586: 1567: 1566: 1565: 1559: 1558: 1557: 1545: 1523: 1506: 1497:Unitary divisor 1489: 1462: 1443:Stoneham number 1413:Sociable number 1345: 1303: 1281: 1252:Prime signature 1192:P-adic analysis 1184: 1130:Natural density 1122: 1075: 1053: 1039:Kaprekar number 1031: 1014: 1010:Iwasawa algebra 967: 913:Hecke character 903:Harmonic number 870: 808: 754:Fermat quotient 741: 674: 670:Dyadic rational 584: 578: 577: 576: 573: 572: 556: 553: 552: 541: 532: 529: 528: 512: 509: 508: 502:Quadratic forms 497: 488: 485: 484: 473: 468: 467: 461:Perfect numbers 455: 454: 438: 435: 434: 418: 415: 414: 403: 398: 397: 386: 381: 380: 369: 360: 357: 356: 345: 340: 339: 323: 320: 319: 308: 303: 302: 286: 283: 282: 266: 263: 262: 251: 242: 239: 238: 227: 222: 221: 210: 186: 185: 184: 183: 89: 29:Traditionally, 27: 12: 11: 5: 1595: 1585: 1584: 1579: 1564:) (next page) 1556: 1555: 1549: 1546: 1544: 1543: 1538: 1533: 1527: 1524: 1522: 1521: 1516: 1510: 1507: 1505: 1504: 1499: 1493: 1490: 1488: 1487: 1485:Taxicab number 1482: 1477: 1472: 1466: 1463: 1461: 1460: 1455: 1453:Sums of powers 1450: 1445: 1440: 1435: 1430: 1425: 1420: 1415: 1410: 1405: 1400: 1395: 1390: 1388:Sidon sequence 1385: 1380: 1375: 1370: 1365: 1360: 1355: 1349: 1346: 1344: 1343: 1341:Ruler function 1338: 1333: 1328: 1323: 1318: 1313: 1307: 1304: 1302: 1301: 1296: 1291: 1285: 1282: 1280: 1279: 1274: 1269: 1264: 1259: 1254: 1249: 1244: 1239: 1237:Prime geodesic 1234: 1229: 1224: 1219: 1214: 1209: 1204: 1199: 1194: 1188: 1185: 1183: 1182: 1177: 1172: 1167: 1162: 1157: 1152: 1147: 1142: 1137: 1135:Natural number 1132: 1126: 1123: 1121: 1120: 1115: 1110: 1105: 1100: 1098:Multipartition 1095: 1090: 1085: 1079: 1076: 1074: 1073: 1068: 1066:Local analysis 1063: 1057: 1054: 1052: 1051: 1049:Kubilius model 1046: 1041: 1035: 1032: 1030: 1029: 1024: 1022:Jacobsthal sum 1018: 1015: 1013: 1012: 1007: 1002: 997: 992: 987: 982: 977: 971: 968: 966: 965: 960: 955: 950: 945: 940: 935: 930: 925: 920: 915: 910: 905: 900: 895: 890: 885: 880: 874: 871: 869: 868: 863: 858: 853: 848: 843: 838: 833: 828: 823: 818: 812: 809: 807: 806: 801: 796: 791: 786: 781: 776: 771: 766: 761: 756: 751: 749:Farey sequence 745: 742: 740: 739: 734: 729: 724: 722:Euler function 719: 714: 709: 704: 699: 694: 689: 684: 678: 675: 673: 672: 667: 662: 660:Ducci sequence 657: 652: 647: 642: 637: 632: 627: 622: 617: 612: 606: 603: 602: 588: 583:) (next page) 575: 574: 564: 563: 560: 557: 555: 554: 540: 539: 536: 533: 531: 530: 520: 519: 516: 513: 511: 510: 496: 495: 492: 489: 487: 486: 472: 471: 469: 459: 458: 456: 448:P-adic numbers 446: 445: 442: 439: 437: 436: 426: 425: 422: 419: 417: 416: 402: 401: 399: 385: 384: 382: 368: 367: 364: 361: 359: 358: 350:Lattice points 344: 343: 341: 331: 330: 327: 324: 322: 321: 307: 306: 304: 294: 293: 290: 287: 285: 284: 274: 273: 270: 267: 265: 264: 250: 249: 246: 243: 241: 240: 226: 225: 223: 209: 208: 205: 202: 201: 191: 182: 181: 101: 96: 90: 88: 85: 83: 9: 6: 4: 3: 2: 1594: 1583: 1580: 1578: 1575: 1574: 1572: 1563: 1562:previous page 1554: 1551: 1550: 1547: 1542: 1539: 1537: 1534: 1532: 1529: 1528: 1525: 1520: 1517: 1515: 1514:Vieta jumping 1512: 1511: 1508: 1503: 1500: 1498: 1495: 1494: 1491: 1486: 1483: 1481: 1478: 1476: 1473: 1471: 1468: 1467: 1464: 1459: 1456: 1454: 1451: 1449: 1446: 1444: 1441: 1439: 1436: 1434: 1431: 1429: 1428:Square number 1426: 1424: 1421: 1419: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1399: 1396: 1394: 1391: 1389: 1386: 1384: 1381: 1379: 1378:Seventh power 1376: 1374: 1371: 1369: 1366: 1364: 1361: 1359: 1356: 1354: 1353:Schnorr group 1351: 1350: 1347: 1342: 1339: 1337: 1334: 1332: 1329: 1327: 1324: 1322: 1319: 1317: 1314: 1312: 1309: 1308: 1305: 1300: 1297: 1295: 1292: 1290: 1287: 1286: 1283: 1278: 1275: 1273: 1270: 1268: 1265: 1263: 1260: 1258: 1255: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1232:Poussin proof 1230: 1228: 1225: 1223: 1222:Perfect power 1220: 1218: 1215: 1213: 1210: 1208: 1207:P-adic number 1205: 1203: 1200: 1198: 1195: 1193: 1190: 1189: 1186: 1181: 1178: 1176: 1173: 1171: 1170:Normal number 1168: 1166: 1163: 1161: 1158: 1156: 1153: 1151: 1148: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1127: 1124: 1119: 1116: 1114: 1111: 1109: 1106: 1104: 1101: 1099: 1096: 1094: 1091: 1089: 1086: 1084: 1081: 1080: 1077: 1072: 1069: 1067: 1064: 1062: 1059: 1058: 1055: 1050: 1047: 1045: 1044:Knödel number 1042: 1040: 1037: 1036: 1033: 1028: 1025: 1023: 1020: 1019: 1016: 1011: 1008: 1006: 1003: 1001: 998: 996: 993: 991: 988: 986: 983: 981: 978: 976: 975:Ideal lattice 973: 972: 969: 964: 961: 959: 956: 954: 951: 949: 946: 944: 941: 939: 936: 934: 931: 929: 926: 924: 921: 919: 916: 914: 911: 909: 908:Hecke algebra 906: 904: 901: 899: 896: 894: 893:Günter Harder 891: 889: 886: 884: 881: 879: 876: 875: 872: 867: 864: 862: 859: 857: 854: 852: 849: 847: 844: 842: 839: 837: 834: 832: 829: 827: 824: 822: 819: 817: 814: 813: 810: 805: 802: 800: 797: 795: 792: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 760: 757: 755: 752: 750: 747: 746: 743: 738: 735: 733: 730: 728: 725: 723: 720: 718: 715: 713: 710: 708: 705: 703: 700: 698: 695: 693: 690: 688: 687:Eichler order 685: 683: 680: 679: 676: 671: 668: 666: 665:Durfee square 663: 661: 658: 656: 653: 651: 648: 646: 643: 641: 638: 636: 633: 631: 628: 626: 623: 621: 618: 616: 613: 611: 608: 607: 604: 600:) (next page) 599: 598:previous page 595: 593: 586: 582: 581:previous page 567: 562: 561: 558: 547: 543: 538: 537: 534: 523: 518: 517: 514: 503: 499: 494: 493: 490: 479: 478:Prime numbers 475: 470: 462: 457: 449: 444: 443: 440: 429: 424: 423: 420: 409: 405: 400: 392: 391:Modular forms 388: 383: 375: 371: 366: 365: 362: 351: 347: 342: 334: 329: 328: 325: 317:(10 C, 220 P) 314: 310: 305: 297: 292: 291: 288: 277: 272: 271: 268: 257: 253: 248: 247: 244: 233: 229: 224: 216: 212: 207: 206: 203: 199:) (next page) 198: 197:previous page 194: 190:Subcategories 189: 180: 177: 174: 171: 168: 165: 162: 159: 156: 153: 150: 147: 144: 141: 138: 135: 132: 129: 126: 123: 120: 117: 114: 111: 108: 105: 102: 100: 97: 95: 92: 91: 82: 80: 76: 72: 68: 64: 63:Number theory 61: 59: 54: 49: 47: 42: 38: 34: 33: 32:number theory 25: 24: 23:Number theory 19: 1423:Sparse ruler 1373:Selmer group 1071:Lone divider 980:Ideal number 851:Golomb ruler 779:Fourth power 692:Eighth power 625:Digital root 610:Dedekind sum 589: 550:(1 C, 106 P) 482:(12 C, 60 P) 192: 62: 56: 50: 30: 28: 21: 1541:Wild number 1398:Sixth power 1247:Prime power 1217:Paley graph 1140:Néron model 506:(2 C, 61 P) 412:(1 C, 13 P) 395:(3 C, 79 P) 378:(1 C, 62 P) 354:(1 C, 39 P) 260:(1 C, 12 P) 236:(4 C, 64 P) 219:(1 C, 35 P) 37:mathematics 1571:Categories 1470:Tate twist 1262:Primon gas 958:Hydra game 831:GCD matrix 789:Frobenioid 784:Frey curve 71:MathSciNet 1326:Remainder 620:Digit sum 87:Contents 53:category 41:integers 18:category 570:(120 P) 526:(37 P) 465:(11 P) 452:(18 P) 337:(20 P) 300:(15 P) 280:(12 P) 79:zbMATH 65:; see 432:(6 P) 75:11-XX 73:and 67:11-XX 60:11-XX 51:This 99:0–9 94:Top 77:at 69:at 58:MSC 20:is 1573:: 594:. 568:‎ 548:‎ 524:‎ 504:‎ 480:‎ 463:‎ 450:‎ 430:‎ 410:‎ 393:‎ 376:‎ 352:‎ 335:‎ 315:‎ 298:‎ 278:‎ 258:‎ 234:‎ 217:‎ 81:. 48:. 1560:( 1548:Z 1526:W 1509:V 1492:U 1465:T 1348:S 1306:R 1284:Q 1187:P 1125:N 1078:M 1056:L 1034:K 1017:J 970:I 873:H 811:G 744:F 677:E 605:D 596:( 579:( 559:Σ 535:U 515:S 491:Q 441:P 421:N 363:M 326:L 289:I 269:G 245:E 204:D 195:( 179:Z 176:Y 173:X 170:W 167:V 164:U 161:T 158:S 155:R 152:Q 149:P 146:O 143:N 140:M 137:L 134:K 131:J 128:I 125:H 122:G 119:F 116:E 113:D 110:C 107:B 104:A 26:.

Index

category
Number theory
number theory
mathematics
integers
list of number theory topics
category
MSC
11-XX
MathSciNet
11-XX
zbMATH
Top
0–9
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P

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