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Selberg's collected works were published in two volumes. The first volume contains 41 articles, and the second volume contains three additional articles, in addition to
Selberg's lectures on sieves.
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638:{\displaystyle \vartheta \left(x\right)\log \left(x\right)+\sum \limits _{p\leq x}{\log \left(p\right)}\vartheta \left({\frac {x}{p}}\right)=2x\log \left(x\right)+O\left(x\right)}
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2008:
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Selberg, A. (1956). "Harmonic analysis and discontinuous groups in weakly symmetric
Riemannian spaces with applications to Dirichlet series".
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1987:
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2003:
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Selberg, Atle (1943). "On the normal density of primes in small intervals, and the difference between consecutive primes".
899:
Selberg, Atle (1940). "Bemerkungen ĂĽber eine
Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist".
798:, the most famous and influential of his results. In its simplest form, this establishes a duality between the lengths of
488:. This challenged the widely held view of his time that certain theorems are only obtainable with the advanced methods of
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on 6 August 2007 of heart failure. Upon his death he was survived by his widow, daughter, son, and four grandchildren.
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400:. After the war, his accomplishments became known, including a proof that a positive proportion of the zeros of the
41:
481:
1184:
Selberg, Atle (1965). "On the estimation of
Fourier coefficients of modular forms". In Whiteman, Albert L. (ed.).
1510:
Selbert, Atle (April 1949). "An
Elementary Proof of Dirichlet's Theorem About Primes in Arithmetic Progression".
2016:
877:
His first wife, Hedvig, died in 1995. With her, Selberg had two children: Ingrid
Selberg (married to playwright
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743:. He established this result by elementary means in March 1948, and by July of that year, Selberg and
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1992:
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During the war, he fought against the German invasion of Norway, and was imprisoned several times.
35:
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1264:
Selberg, Atle (1992). "Old and new conjectures and results about a class of
Dirichlet series". In
881:) and Lars Selberg. In 2003 Atle Selberg married Betty Frances ("Mickey") Compton (born in 1929).
1982:
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in the 1950s, where he remained until his death. During the 1950s he worked on introducing
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Selberg, Atle (1960). "On discontinuous groups in higher-dimensional symmetric spaces".
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Selberg received many distinctions for his work, in addition to the Fields Medal, the
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713:{\displaystyle \vartheta \left(x\right)=\sum \limits _{p\leq x}{\log \left(p\right)}}
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1671:"Atle Selberg, 90; Researcher 'Left a Profound Imprint on the World of Mathematics'"
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as suggested by the works of
Ramanujan; however, this result was first published by
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Selberg, Atle (1946). "Contributions to the theory of the
Riemann zeta-function".
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For his fundamental accomplishments during the 1940s, Selberg received the 1950
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1188:. Proceedings of Symposia in Pure Mathematics. Vol. VIII. Providence, RI:
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Skrifter Utgitt av det Norske
Videnskaps-Akademi i Oslo. I. Mat.-Naturv. Klasse
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1967:
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1598:"The Elementary Proof of the Prime Number Theorem: an Historical Perspective"
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in 2002, its founding year, before the awarding of the regular prizes began.
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Selberg moved to the United States and worked as an associate professor at
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Selberg, Atle (1949). "An elementary proof of the prime-number theorem".
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1867:"The lord of the numbers, Atle Selberg. On his life and mathematics"
1627:"The lord of the numbers, Atle Selberg. On his life and mathematics"
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1073:
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2022:
938:
Selberg, Atle (1942). "On the zeros of Riemann's zeta-function".
492:. Both results were based on his work on the asymptotic formula
998:
Selberg, Atle (1944). "Bemerkninger om et multiplet integral".
94:
2590:
1760:"Math Encounters - Primes and Zeros: A Million-Dollar Mystery"
1274:
Proceedings of the Amalfi Conference on Analytic Number Theory
3070:
Members of the Royal Danish Academy of Sciences and Letters
1544:
381:
321:, and in particular for bringing them into relation with
1097:
Selberg, Atle (1954). "Note on a paper by L. G. Sathe".
480:
in which he proved by elementary means the theorems for
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Members of the Norwegian Academy of Science and Letters
1847:
Fascinating Mathematical People: interviews and memoirs
1825:
MAA Reviews, Mathematical Association of America (MAA)
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1547:"The Elementary Proof of the Prime Number Theorem"
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1976:
1781:. Norwegian University of Science and Technology.
1455:"An Elementary Proof of the Prime-Number Theorem"
821:He generally worked alone. His only coauthor was
365:and he found an exact analytical formula for the
232:Betty Frances ("Mickey") Compton (m. 2003 - 2007)
3110:Members of the Royal Swedish Academy of Sciences
3031:
814:, which is analogous to the duality between the
357:, were also mathematicians. His other brother,
1702:Proceedings of the National Academy of Sciences
1228:Journal fĂĽr die Reine und Angewandte Mathematik
769:
309:(14 June 1917 – 6 August 2007) was a Norwegian
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1795:"Atle Selberg, 90, Lauded Mathematician, Dies"
872:Norwegian University of Science and Technology
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1920:"Reflections Around the Ramanujan Centenary"
1906:Notices of the American Mathematical Society
853:Royal Danish Academy of Sciences and Letters
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1865:Baas, Nils A.; Skau, Christian F. (2008).
1625:Baas, Nils A.; Skau, Christian F. (2008).
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1128:Journal of the Indian Mathematical Society
1099:Journal of the Indian Mathematical Society
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396:, Selberg worked in isolation due to the
71:Learn how and when to remove this message
3080:Norwegian emigrants to the United States
2004:Obituary at Institute for Advanced Study
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849:Norwegian Academy of Science and Letters
794:, culminating in his development of the
474:In 1948 Selberg submitted two papers in
230:Hedvig Liebermann (m. 1947 - died 1995)
34:This article includes a list of general
1988:MacTutor History of Mathematics Archive
1917:
1764:National Museum of Mathematics, YouTube
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970:Archiv for Mathematik og Naturvidenskab
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902:Archiv for Mathematik og Naturvidenskab
898:
866:, doctor philos. honoris causa, at the
441:{\displaystyle \Re (s)={\tfrac {1}{2}}}
3032:
1791:
1668:Maugh II, Thomas H. (22 August 2007).
1545:Spencer, Joel; Graham, Ronald (2009).
1225:(1967). "On Epstein's zeta-function".
1161:Tata Institute of Fundamental Research
2564:
2026:
1898:"Remembering Atle Selberg, 1917–2007"
1404:Description at M.I.T. Press Bookstore
1362:Description at M.I.T. Press Bookstore
857:American Academy of Arts and Sciences
454:
3065:Institute for Advanced Study faculty
3055:21st-century American mathematicians
3050:20th-century American mathematicians
2052:
1956:from the original on 9 October 2022.
1657:from the original on 9 October 2022.
1614:from the original on 9 October 2022.
1585:from the original on 9 October 2022.
1499:from the original on 9 October 2022.
1426:Ferrara, Christine (9 August 2007).
818:and the zeros of the zeta function.
20:
3105:Wolf Prize in Mathematics laureates
676:
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16:Norwegian mathematician (1917–2007)
13:
1835:
832:. He was also awarded an honorary
411:
40:it lacks sufficient corresponding
14:
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2019:exists at NTNU University Library
1961:
1792:Pearce, Jeremy (17 August 2007).
868:Norwegian Institute of Technology
471:, among other important results.
3013:
2544:
2535:
2534:
1819:Collected Papers I: Atle Helberg
1815:Berg, Michael (7 October 2014).
1768:(See 58:30 of 1:18:02 in video.)
1698:"On Epstein's Zeta Function (I)"
1696:Chowla, S.; Selberg, A. (1949).
1157:Contributions to Function Theory
759:between the two mathematicians.
482:primes in arithmetic progression
25:
1808:
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1605:Number Theory: New York Seminar
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1554:The Mathematical Intelligencer
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2017:Atle Selbergs private archive
1972:Mathematics Genealogy Project
1884:10.1090/S0273-0979-08-01223-8
1849:, "Atle Selberg", pp 254–73,
1647:10.1090/S0273-0979-08-01223-8
1409:
1190:American Mathematical Society
828:Selberg was awarded the 1986
349:. Two of his three brothers,
347:Ole Michael Ludvigsen Selberg
1999:Atle Selberg archive webpage
1453:Selberg, Atle (April 1949).
1432:Institute for Advanced Study
1268:; Perelli, A.; Salerno, S.;
780:Institute for Advanced Study
770:Institute for Advanced Study
459:After the war, he turned to
292:Institute for Advanced Study
7:
1369:Collected Papers. Volume II
1000:Norsk Matematisk Tidsskrift
862:In 1972, he was awarded an
398:German occupation of Norway
10:
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1851:Princeton University Press
1310:Collected Papers. Volume I
3100:University of Oslo alumni
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2593:Wolf Prize in Mathematics
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2060:
1596:Goldfeld, Dorian (2003).
1567:10.1007/s00283-009-9063-9
1198:10.1090/pspum/008/0182610
830:Wolf Prize in Mathematics
778:and later settled at the
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3085:Norwegian mathematicians
1993:University of St Andrews
1428:"Atle Selberg 1917–2007"
1241:10.1515/crll.1967.227.86
847:. He was elected to the
329:in 1950 and an honorary
1843:Alexanderson, Gerald L.
804:compact Riemann surface
189:Maass–Selberg relations
55:more precise citations.
3020:Mathematics portal
2743:Ilya Piatetski-Shapiro
1889:Interview with Selberg
1841:Albers, Donald J. and
1371:. Berlin, Heidelberg:
1367:Selberg, Atle (1991).
1313:. Berlin, Heidelberg:
1307:Selberg, Atle (1989).
737:
714:
639:
442:
315:analytic number theory
313:known for his work in
185:Chowla–Selberg formula
181:Weakly symmetric space
2953:Jean-François Le Gall
1871:Bull. Amer. Math. Soc
1723:10.1073/pnas.35.7.371
1634:Bull. Amer. Math. Soc
1512:Annals of Mathematics
1462:Annals of Mathematics
1278:UniversitĂ di Salerno
1061:Annals of Mathematics
892:Selected publications
886:Princeton, New Jersey
796:Selberg trace formula
784:Princeton, New Jersey
738:
715:
640:
477:Annals of Mathematics
443:
402:Riemann zeta function
325:. He was awarded the
217:Selberg zeta function
213:Selberg trace formula
193:Rankin–Selberg method
169:Critical line theorem
2870:Phillip A. Griffiths
2708:Friedrich Hirzebruch
1979:Robertson, Edmund F.
1280:. pp. 367–385.
1163:. pp. 147–164.
753:prime number theorem
727:
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341:Selberg was born in
201:Selberg's conjecture
2943:Alexander Beilinson
1977:O'Connor, John J.;
1714:1949PNAS...35..371C
884:He died at home in
776:Syracuse University
363:Srinivasa Ramanujan
287:Syracuse University
3095:People from Bamble
2974:Simon K. Donaldson
2901:Michael Aschbacher
2860:Hillel Furstenberg
2550:Mathematics portal
1939:10.1007/BF02838915
1896:(June–July 2009).
1801:The New York Times
1779:"Honorary Doctors"
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455:Post-war in Norway
438:
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380:and completed his
378:University of Oslo
376:He studied at the
367:partition function
317:and the theory of
205:Selberg's identity
159:University of Oslo
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2990:Ingrid Daubechies
2947:Vladimir Drinfeld
2937:Charles Fefferman
2820:Jean-Pierre Serre
2668:Shiing-Shen Chern
2642:Andrey Kolmogorov
2591:Laureates of the
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1859:978-0-691-14829-8
1758:(12 March 2020).
1676:Los Angeles Times
1192:. pp. 1–15.
1186:Theory of Numbers
1064:. Second Series.
823:Sarvadaman Chowla
749:elementary proofs
736:{\displaystyle p}
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486:density of primes
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319:automorphic forms
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264:Scientific career
243:(honorary) (2002)
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3090:Number theorists
3060:Fields Medalists
3018:
3017:
2978:Yakov Eliashberg
2874:David B. Mumford
2846:Grigory Margulis
2775:Robert Langlands
2753:John G. Thompson
2749:Lennart Carleson
2718:Alberto CalderĂłn
2688:Samuel Eilenberg
2678:Kunihiko Kodaira
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1434:(Press release)
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1221:Selberg, Atle;
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2993:
2987:
2984:George Lusztig
2981:
2970:
2968:
2964:
2963:
2961:
2960:
2957:Gregory Lawler
2950:
2940:
2933:Richard Schoen
2930:
2924:
2918:
2908:
2898:
2895:Shing-Tung Yau
2887:
2885:
2881:
2880:
2878:
2877:
2866:Pierre Deligne
2863:
2853:
2850:Sergei Novikov
2843:
2833:
2830:Saharon Shelah
2823:
2812:
2810:
2806:
2805:
2803:
2802:
2799:Elias M. Stein
2792:
2789:Yakov G. Sinai
2782:
2772:
2766:
2759:Mikhail Gromov
2756:
2746:
2735:
2733:
2729:
2728:
2726:
2725:
2715:
2712:Lars Hörmander
2705:
2695:
2685:
2675:
2665:
2655:
2645:
2634:
2632:
2628:
2627:
2625:
2624:
2614:
2611:Carl L. Siegel
2607:Israel Gelfand
2603:
2601:
2597:
2596:
2588:
2587:
2580:
2573:
2565:
2556:
2555:
2553:
2552:
2542:
2531:
2528:
2527:
2524:
2523:
2521:
2520:
2515:
2510:
2505:
2498:
2496:
2494:
2493:
2488:
2483:
2478:
2471:
2469:
2467:
2466:
2461:
2456:
2451:
2444:
2442:
2440:
2439:
2434:
2429:
2424:
2417:
2415:
2413:
2412:
2407:
2402:
2397:
2390:
2388:
2386:
2385:
2380:
2373:
2371:
2369:
2368:
2363:
2358:
2353:
2346:
2344:
2342:
2341:
2336:
2331:
2326:
2319:
2317:
2315:
2314:
2309:
2304:
2299:
2292:
2290:
2288:
2287:
2282:
2277:
2270:
2268:
2266:
2265:
2260:
2255:
2248:
2246:
2244:
2243:
2238:
2233:
2228:
2221:
2219:
2217:
2216:
2211:
2204:
2202:
2200:
2199:
2194:
2189:
2184:
2177:
2175:
2173:
2172:
2167:
2162:
2157:
2150:
2148:
2146:
2145:
2140:
2133:
2131:
2129:
2128:
2123:
2116:
2114:
2112:
2111:
2106:
2099:
2097:
2095:
2094:
2089:
2082:
2080:
2078:
2077:
2072:
2065:
2062:
2061:
2058:
2057:
2050:
2049:
2042:
2035:
2027:
2021:
2020:
2014:
2006:
2001:
1996:
1983:"Atle Selberg"
1974:
1963:
1962:External links
1960:
1959:
1958:
1915:
1894:Hejhal, Dennis
1890:
1877:(4): 617–649.
1862:
1837:
1834:
1831:
1830:
1807:
1784:
1770:
1747:
1708:(7): 371–374.
1688:
1660:
1640:(4): 617–649.
1617:
1588:
1537:
1518:(2): 297–304.
1502:
1468:(2): 305–313.
1445:
1414:
1413:
1411:
1408:
1407:
1406:
1381:
1364:
1355:
1323:
1299:
1298:
1261:
1218:
1181:
1152:
1134:(1–3): 47–87.
1130:. New Series.
1123:
1101:. New Series.
1094:
1068:(2): 305–313.
1055:
1024:
995:
964:
935:
895:
893:
890:
845:Gunnerus Medal
771:
768:
747:each obtained
732:
721:
720:
707:
704:
701:
697:
694:
688:
685:
682:
678:
674:
670:
667:
664:
660:
646:
645:
633:
630:
627:
623:
620:
616:
613:
610:
606:
603:
600:
597:
594:
590:
585:
582:
577:
573:
568:
565:
562:
558:
555:
549:
546:
543:
539:
535:
531:
528:
525:
521:
518:
514:
511:
508:
504:
469:Chen's theorem
456:
453:
434:
431:
425:
422:
419:
416:
413:
389:
386:
338:
335:
302:
301:
298:
297:
295:
294:
289:
283:
281:
277:
276:
271:
267:
266:
260:
259:
256:Gunnerus Medal
238:
234:
233:
228:
224:
223:
177:Parity problem
173:Local rigidity
166:
165:Known for
162:
161:
156:
152:
151:
148:
144:
143:
133:
131:(aged 90)
125:
121:
120:
114:
103:
99:
98:
90:
89:
86:
79:
78:
33:
31:
24:
15:
9:
6:
4:
3:
2:
3122:
3111:
3108:
3106:
3103:
3101:
3098:
3096:
3093:
3091:
3088:
3086:
3083:
3081:
3078:
3076:
3073:
3071:
3068:
3066:
3063:
3061:
3058:
3056:
3053:
3051:
3048:
3046:
3043:
3041:
3038:
3037:
3035:
3022:
3021:
3016:
3008:
3001:
2997:
2994:
2991:
2988:
2985:
2982:
2979:
2975:
2972:
2971:
2969:
2965:
2958:
2954:
2951:
2948:
2944:
2941:
2938:
2934:
2931:
2928:
2925:
2922:
2919:
2916:
2915:Michael Artin
2912:
2911:George Mostow
2909:
2906:
2902:
2899:
2896:
2892:
2889:
2888:
2886:
2882:
2875:
2871:
2867:
2864:
2861:
2857:
2856:Stephen Smale
2854:
2851:
2847:
2844:
2841:
2837:
2834:
2831:
2827:
2824:
2821:
2817:
2814:
2813:
2811:
2807:
2800:
2796:
2795:László Lovász
2793:
2790:
2786:
2785:Joseph Keller
2783:
2780:
2776:
2773:
2770:
2767:
2764:
2760:
2757:
2754:
2750:
2747:
2744:
2740:
2737:
2736:
2734:
2730:
2723:
2719:
2716:
2713:
2709:
2706:
2703:
2699:
2696:
2693:
2689:
2686:
2683:
2679:
2676:
2673:
2669:
2666:
2663:
2659:
2656:
2653:
2652:Oscar Zariski
2649:
2646:
2643:
2639:
2636:
2635:
2633:
2629:
2622:
2618:
2615:
2612:
2608:
2605:
2604:
2602:
2598:
2594:
2586:
2581:
2579:
2574:
2572:
2567:
2566:
2563:
2551:
2547:
2543:
2541:
2533:
2532:
2529:
2519:
2516:
2514:
2511:
2509:
2506:
2504:
2503:Duminil-Copin
2500:
2499:
2497:
2492:
2489:
2487:
2484:
2482:
2479:
2477:
2473:
2472:
2470:
2465:
2462:
2460:
2457:
2455:
2452:
2450:
2446:
2445:
2443:
2438:
2435:
2433:
2430:
2428:
2425:
2423:
2422:Lindenstrauss
2419:
2418:
2416:
2411:
2408:
2406:
2403:
2401:
2398:
2396:
2392:
2391:
2389:
2384:
2381:
2379:
2375:
2374:
2372:
2367:
2364:
2362:
2359:
2357:
2354:
2352:
2348:
2347:
2345:
2340:
2337:
2335:
2332:
2330:
2327:
2325:
2321:
2320:
2318:
2313:
2310:
2308:
2305:
2303:
2300:
2298:
2294:
2293:
2291:
2286:
2283:
2281:
2278:
2276:
2272:
2271:
2269:
2264:
2261:
2259:
2256:
2254:
2250:
2249:
2247:
2242:
2239:
2237:
2234:
2232:
2229:
2227:
2223:
2222:
2220:
2215:
2212:
2210:
2206:
2205:
2203:
2198:
2195:
2193:
2190:
2188:
2185:
2183:
2179:
2178:
2176:
2171:
2168:
2166:
2163:
2161:
2158:
2156:
2152:
2151:
2149:
2144:
2141:
2139:
2135:
2134:
2132:
2127:
2124:
2122:
2118:
2117:
2115:
2110:
2107:
2105:
2101:
2100:
2098:
2093:
2090:
2088:
2084:
2083:
2081:
2076:
2073:
2071:
2067:
2066:
2064:
2063:
2059:
2055:
2048:
2043:
2041:
2036:
2034:
2029:
2028:
2025:
2018:
2015:
2013:
2012:
2007:
2005:
2002:
2000:
1997:
1994:
1990:
1989:
1984:
1980:
1975:
1973:
1969:
1966:
1965:
1952:
1948:
1944:
1940:
1936:
1933:(12): 81–91.
1932:
1928:
1921:
1916:
1913:(6): 692–710.
1912:
1908:
1907:
1899:
1895:
1891:
1885:
1880:
1876:
1872:
1868:
1863:
1860:
1856:
1852:
1848:
1844:
1840:
1839:
1826:
1822:
1820:
1811:
1803:
1802:
1796:
1788:
1780:
1774:
1765:
1761:
1757:
1756:Conrey, Brian
1751:
1743:
1739:
1734:
1729:
1724:
1719:
1715:
1711:
1707:
1703:
1699:
1692:
1677:
1672:
1664:
1653:
1648:
1643:
1639:
1635:
1628:
1621:
1610:
1606:
1599:
1592:
1581:
1577:
1573:
1568:
1563:
1559:
1555:
1548:
1541:
1533:
1529:
1525:
1521:
1517:
1513:
1506:
1495:
1491:
1487:
1483:
1479:
1475:
1471:
1467:
1463:
1456:
1449:
1433:
1429:
1422:
1420:
1415:
1405:
1400:
1396:
1392:
1388:
1384:
1382:3-540-50626-8
1378:
1374:
1370:
1365:
1363:
1358:
1356:9783642410215
1352:
1348:
1342:
1338:
1334:
1330:
1326:
1324:3-540-18389-2
1320:
1316:
1312:
1311:
1305:
1304:
1303:
1295:
1291:
1287:
1283:
1279:
1275:
1271:
1267:
1262:
1258:
1254:
1250:
1246:
1242:
1238:
1234:
1230:
1229:
1224:
1219:
1215:
1211:
1207:
1203:
1199:
1195:
1191:
1187:
1182:
1178:
1174:
1170:
1166:
1162:
1158:
1153:
1149:
1145:
1141:
1137:
1133:
1129:
1124:
1120:
1116:
1112:
1108:
1104:
1100:
1095:
1091:
1087:
1083:
1079:
1075:
1071:
1067:
1063:
1062:
1056:
1052:
1048:
1044:
1040:
1037:(5): 89–155.
1036:
1032:
1031:
1025:
1021:
1017:
1013:
1009:
1005:
1001:
996:
992:
988:
984:
980:
977:(6): 87–105.
976:
972:
971:
965:
961:
957:
953:
949:
945:
941:
936:
932:
928:
924:
920:
916:
912:
908:
904:
903:
897:
896:
889:
887:
882:
880:
875:
873:
869:
865:
860:
858:
854:
850:
846:
842:
837:
835:
831:
826:
824:
819:
817:
816:prime numbers
813:
809:
805:
801:
797:
793:
792:number theory
789:
785:
781:
777:
767:
765:
760:
758:
754:
750:
746:
730:
705:
702:
699:
695:
692:
686:
683:
680:
672:
668:
665:
662:
658:
651:
650:
649:
631:
628:
625:
621:
618:
614:
611:
608:
604:
601:
598:
595:
592:
588:
583:
580:
575:
571:
566:
563:
560:
556:
553:
547:
544:
541:
533:
529:
526:
523:
519:
516:
512:
509:
506:
502:
495:
494:
493:
491:
487:
483:
479:
478:
472:
470:
466:
465:Selberg sieve
462:
452:
449:
432:
429:
423:
417:
403:
399:
395:
385:
383:
379:
374:
372:
368:
364:
360:
356:
352:
348:
344:
334:
332:
328:
324:
320:
316:
312:
311:mathematician
308:
299:
293:
290:
288:
285:
284:
282:
278:
275:
272:
268:
265:
261:
257:
252:
247:
242:
239:
235:
229:
225:
222:
221:Selberg sieve
218:
214:
210:
206:
202:
198:
197:Selberg class
194:
190:
186:
182:
178:
174:
170:
167:
163:
160:
157:
153:
149:
145:
140:
136:
127:6 August 2007
126:
122:
117:
104:
100:
96:
91:
84:
75:
72:
64:
54:
50:
44:
43:
37:
32:
23:
22:
19:
3011:
2921:Peter Sarnak
2779:Andrew Wiles
2769:JĂĽrgen Moser
2763:Jacques Tits
2692:Atle Selberg
2691:
2648:Lars Ahlfors
2638:Henri Cartan
2165:Grothendieck
2091:
2010:
2009:Obituary in
1986:
1968:Atle Selberg
1930:
1926:
1910:
1904:
1874:
1870:
1846:
1824:
1818:
1810:
1799:
1787:
1773:
1763:
1750:
1705:
1701:
1691:
1679:. Retrieved
1675:
1663:
1637:
1633:
1620:
1604:
1591:
1560:(3): 18–23.
1557:
1553:
1540:
1515:
1511:
1505:
1465:
1461:
1448:
1436:. Retrieved
1431:
1368:
1346:
1309:
1301:
1273:
1266:Bombieri, E.
1232:
1226:
1185:
1156:
1131:
1127:
1105:(1): 83–87.
1102:
1098:
1065:
1059:
1034:
1028:
1003:
999:
974:
968:
943:
939:
909:(4): 47–50.
906:
900:
883:
876:
861:
838:
827:
820:
773:
764:Fields Medal
761:
722:
647:
475:
473:
461:sieve theory
458:
450:
394:World War II
391:
388:World War II
375:
340:
327:Fields Medal
307:Atle Selberg
306:
305:
280:Institutions
263:
246:Fields Medal
129:(2007-08-06)
112:14 June 1917
87:Atle Selberg
67:
61:January 2023
58:
39:
18:
3045:2007 deaths
3040:1917 births
2722:John Milnor
2501:2022
2474:2018
2447:2014
2420:2010
2393:2006
2376:2002
2349:1998
2322:1994
2295:1990
2273:1986
2251:1982
2224:1978
2207:1974
2180:1970
2153:1966
2136:1962
2119:1958
2102:1954
2085:1950
2068:1936
1817:"review of
1607:: 179–192.
1276:. Salerno:
1270:Zannier, U.
808:eigenvalues
723:for primes
337:Early years
274:Mathematics
147:Nationality
53:introducing
3034:Categories
3000:Adi Shamir
2836:Mikio Sato
2816:Raoul Bott
2698:Kiyosi ItĂ´
2672:Paul Erdős
2662:Mark Krein
2621:André Weil
2617:Jean Leray
2464:Mirzakhani
2361:Kontsevich
1681:14 October
1438:14 October
1410:References
1399:0729.11001
1341:0675.10001
1294:0787.11037
1257:0166.05204
1235:: 86–110.
1223:Chowla, S.
1214:0142.33903
1177:0201.36603
1159:. Bombay:
1148:0072.08201
1119:0057.28502
1090:0036.30604
1051:0061.08402
1020:0063.06870
991:0028.34802
960:0028.11101
931:0023.22201
915:66.0377.01
841:Wolf Prize
834:Abel Prize
745:Paul Erdős
331:Abel Prize
251:Wolf Prize
241:Abel Prize
139:New Jersey
108:1917-06-14
36:references
2996:Noga Alon
2862:(2006/07)
2842:(2002/03)
2840:John Tate
2791:(1996/97)
2781:(1995/96)
2771:(1994/95)
2702:Peter Lax
2684:(1984/85)
2682:Hans Lewy
2674:(1983/84)
2518:Viazovska
2491:Venkatesh
2383:Voevodsky
2378:Lafforgue
2351:Borcherds
2275:Donaldson
2231:Fefferman
2138:Hörmander
2011:The Times
1947:120285506
1927:Resonance
1490:124153092
1006:: 71–78.
812:Laplacian
696:
684:≤
677:∑
659:ϑ
605:
572:ϑ
557:
545:≤
538:∑
520:
503:ϑ
412:ℜ
384:in 1943.
343:Langesund
333:in 2002.
227:Spouse(s)
150:Norwegian
135:Princeton
116:Langesund
2540:Category
2454:Bhargava
2400:Perelman
2395:Okounkov
2366:McMullen
2339:Zelmanov
2324:Bourgain
2297:Drinfeld
2285:Freedman
2280:Faltings
2258:Thurston
2236:Margulis
2209:Bombieri
2197:Thompson
2187:Hironaka
2087:Schwartz
1951:Archived
1845:(2011),
1742:16588908
1652:Archived
1609:Archived
1580:Archived
1576:15408261
1494:Archived
1272:(eds.).
946:: 1–59.
855:and the
843:and the
806:and the
484:and the
118:, Norway
2513:Maynard
2486:Scholze
2481:Figalli
2437:Villani
2432:Smirnov
2241:Quillen
2226:Deligne
2214:Mumford
2192:Novikov
2104:Kodaira
2092:Selberg
2075:Douglas
2070:Ahlfors
1970:at the
1733:1063041
1710:Bibcode
1532:1969454
1482:1969455
1391:1295844
1333:1117906
1286:1220477
1249:0215797
1206:0182610
1169:0130324
1140:0088511
1111:0067143
1082:0029410
1043:0020594
1012:0018287
983:0012624
952:0010712
923:0002626
810:of the
757:dispute
751:of the
392:During
351:Sigmund
49:improve
3002:(2024)
2992:(2023)
2986:(2022)
2980:(2020)
2959:(2019)
2949:(2018)
2939:(2017)
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