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Hans-Egon Richert

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wrote "In the past, researchers have generally derived the sieve bounds required for an application, but now workers will find that usually an appeal to an appropriate theorem of
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will be vital to those seeking to work in the subject, and also to those seeking to make applications."
299: 275: 207: 124: 287: 97: 310:. Richert also produced a "readable form" of Chen's theorem (it is covered in the last chapter of 263: 239: 167: 89: 426: 211: 195: 128: 79: 541: 536: 380: 8: 455: 430: 394: 366: 307: 215: 132: 499: 482: 494: 386: 358: 317: 267: 243: 218:, where he remained until his retirement in 1991. He died on November 25, 1993, in 171: 139: 376: 283: 250:. For many years he was a chairman of the Analytic Number Theory meetings at the 324:
was the first exhaustive account of the subject. In reviewing the book in 1976,
422: 46: 530: 303: 279: 163: 517: 247: 175: 93: 203: 144: 114: 271: 219: 64: 227: 191: 187: 160: 68: 42: 199: 353: 351: 349: 493:(6). Providence: American Mathematical Society: 846–853. 242:, and beginning around 1965 started a collaboration with 223: 443: 357: 346: 302:, joint work with Wolfgang B. Jurkat that improved the 420: 473: 471: 385: 528: 468: 252:Mathematical Research Institute of Oberwolfach 487:Bulletin of the American Mathematical Society 278:, estimates of the number of non-isomorphic 562:Academic staff of the University of Marburg 452:Additive Number Theory: The Classical Bases 477: 416: 414: 412: 410: 206:in 1950. He held a temporary chair at the 498: 449: 298:One of Richert's notable results was the 257: 159:(June 2, 1924 – November 25, 1993) was a 567:Academic staff of the University of Ulm 407: 332:will suffice," and "For years to come, 286:. He proved the exponent 15/46 for the 529: 290:, a record that stood for many years. 210:and then a newly created chair at the 186:Hans-Egon Richert was born in 1924 in 181: 427:"Died: Prof. Dr. Hans-Egon Richert" 274:, the multiplicative analog of the 13: 547:20th-century German mathematicians 14: 578: 511: 293: 500:10.1090/S0002-9904-1976-14180-8 262:Richert made contributions to 1: 522:Mathematics Genealogy Project 483:"Book Reviews: Sieve Methods" 389:; Richert, Hans-Egon (2011). 557:University of Hamburg alumni 306:and is used in the proof of 238:Richert worked primarily in 7: 10: 583: 450:Nathanson, Melvyn (1996). 365:. London: Academic Press. 214:. In 1972 he moved to the 174:) of a definitive book on 288:Dirichlet divisor problem 246:and shifted his focus to 170:. He is the author (with 150: 138: 120: 110: 103: 98:Dirichlet divisor problem 85: 75: 53: 28: 21: 361:; H. E. Richert (1974). 339: 166:who worked primarily in 552:German number theorists 393:(2nd ed.). Dover. 233: 208:University of Göttingen 125:University of Göttingen 300:Jurkat–Richert theorem 264:additive number theory 258:Analytic number theory 240:analytic number theory 168:analytic number theory 90:additive number theory 320:& Richert's book 212:University of Marburg 196:University of Hamburg 129:University of Marburg 80:University of Hamburg 454:. Berlin: Springer. 16:German mathematician 276:ErdĹ‘s–Fuchs theorem 421:Vorhauer, Ulrike; 194:. He attended the 182:Life and education 518:Hans-Egon Richert 481:(November 1976). 479:Montgomery, H. L. 431:University of Ulm 400:978-0-486-47939-2 387:Halberstam, Heini 359:Halberstam, Heini 282:, and bounds for 272:Riesz summability 216:University of Ulm 198:and received his 157:Hans-Egon Richert 154: 153: 133:University of Ulm 105:Scientific career 57:November 25, 1993 23:Hans-Egon Richert 574: 505: 504: 502: 475: 466: 465: 447: 441: 440: 438: 437: 425:(January 1994). 418: 405: 404: 384: 355: 284:exponential sums 268:Dirichlet series 244:Heini Halberstam 172:Heini Halberstam 140:Doctoral advisor 60: 38: 36: 19: 18: 582: 581: 577: 576: 575: 573: 572: 571: 527: 526: 514: 509: 508: 476: 469: 462: 448: 444: 435: 433: 419: 408: 401: 373: 356: 347: 342: 326:Hugh Montgomery 296: 260: 236: 184: 131: 127: 96: 92: 76:Alma mater 71: 62: 58: 49: 40: 34: 32: 24: 17: 12: 11: 5: 580: 570: 569: 564: 559: 554: 549: 544: 539: 525: 524: 513: 512:External links 510: 507: 506: 467: 460: 442: 423:Eduard Wirsing 406: 399: 371: 344: 343: 341: 338: 308:Chen's theorem 295: 292: 280:abelian groups 259: 256: 235: 232: 183: 180: 152: 151: 148: 147: 142: 136: 135: 122: 118: 117: 112: 108: 107: 101: 100: 87: 86:Known for 83: 82: 77: 73: 72: 63: 61:(aged 69) 55: 51: 50: 41: 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 579: 568: 565: 563: 560: 558: 555: 553: 550: 548: 545: 543: 540: 538: 535: 534: 532: 523: 519: 516: 515: 501: 496: 492: 488: 484: 480: 474: 472: 463: 461:0-387-94656-X 457: 453: 446: 432: 428: 424: 417: 415: 413: 411: 402: 396: 392: 391:Sieve Methods 388: 382: 378: 374: 372:0-12-318250-6 368: 364: 363:Sieve Methods 360: 354: 352: 350: 345: 337: 335: 334:Sieve methods 331: 330:Sieve methods 327: 323: 322:Sieve Methods 319: 315: 313: 312:Sieve Methods 309: 305: 304:Selberg sieve 301: 294:Sieve methods 291: 289: 285: 281: 277: 273: 269: 265: 255: 253: 249: 245: 241: 231: 229: 225: 221: 217: 213: 209: 205: 201: 197: 193: 189: 179: 177: 173: 169: 165: 164:mathematician 162: 158: 149: 146: 143: 141: 137: 134: 130: 126: 123: 119: 116: 113: 109: 106: 102: 99: 95: 91: 88: 84: 81: 78: 74: 70: 66: 56: 52: 48: 44: 31: 27: 20: 490: 486: 451: 445: 434:. Retrieved 390: 362: 333: 329: 321: 316: 311: 297: 261: 248:sieve theory 237: 185: 176:sieve theory 156: 155: 121:Institutions 104: 94:sieve theory 59:(1993-11-25) 39:June 2, 1924 542:1993 deaths 537:1924 births 204:Max Deuring 145:Max Deuring 115:Mathematics 35:1924 -06-02 531:Categories 436:2008-07-21 318:Halberstam 220:Blaustein 65:Blaustein 520:at the 381:0424730 228:Germany 222:, near 192:Germany 188:Hamburg 69:Germany 47:Germany 43:Hamburg 458:  397:  379:  369:  202:under 161:German 111:Fields 340:Notes 456:ISBN 395:ISBN 367:ISBN 234:Work 200:Ph.D 54:Died 29:Born 495:doi 314:). 224:Ulm 533:: 491:82 489:. 485:. 470:^ 429:. 409:^ 377:MR 375:. 348:^ 270:, 266:, 254:. 230:. 226:, 190:, 178:. 67:, 45:, 503:. 497:: 464:. 439:. 403:. 383:. 37:) 33:(

Index

Hamburg
Germany
Blaustein
Germany
University of Hamburg
additive number theory
sieve theory
Dirichlet divisor problem
Mathematics
University of Göttingen
University of Marburg
University of Ulm
Doctoral advisor
Max Deuring
German
mathematician
analytic number theory
Heini Halberstam
sieve theory
Hamburg
Germany
University of Hamburg
Ph.D
Max Deuring
University of Göttingen
University of Marburg
University of Ulm
Blaustein
Ulm
Germany

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