Atle Selberg의 정보
수상나이 33
출생년도 1917
사망년도
출생지 Norway
현재소속 Institute for Advanced Study, Princeton
관련출판물 1.E Bombieri, Selberg's sieve and its applications, in Number theory, trace formulas and discrete groups, Oslo 1987 (Boston, MA, 1989), 29-48.
2.D Bump, The Rankin-Selberg method : a survey, in Number theory, trace formulas and discrete groups, Oslo 1987 (Boston, MA, 1989), 49-109.
3.Obituary of Paul Erdos, in The Times London, 25 Sept, 1996.
시상내역 Developed generalizations of the sieve methods of Viggo Brun; achieved major results on zeros of the Riemann zeta function; gave an elementary proof of the prime number theorem (with P. Erd?s), with a generalization to prime numbers in an arbitrary arithmetic progression.
Other Award
연구단행본 [1] Selberg, Atle Linear operators and automorphic forms. Number theory and related topics (Bombay, 1988), 203--216, Tata Inst. Fund. Res. Stud. Math., 12, Tata Inst. Fund. Res., Bombay, 1989. 32N15 (11F12 11F60)
[2] Selberg, Atle Collected papers. Vol. II. With a foreword by K. Chandrasekharan. Springer-Verlag, Berlin, 1991. viii+253 pp. ISBN: 3-540-50626-8 01A75
[3] Selberg, Atle Old and new conjectures and results about a class of Dirichlet series. Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), 367--385, Univ. Salerno, Salerno, 1992. 11M41
[4] Selberg, Atle Remarks on the distribution of poles of Eisenstein series. Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II (Ramat Aviv, 1989), 251--278, Israel Math. Conf. Proc., 3, Weizmann, Jerusalem, 1990. 11F72 (11M26 11M41)
[5] Selberg, Atle Collected papers. Vol. I. With a foreword by K. Chandrasekharan. Springer-Verlag, Berlin, 1989. vi+711 pp. ISBN: 3-540-18389-2 01A75 (11-03)
[6] Selberg, Atle Sifting problems, sifting density, and sieves. Number theory, trace formulas and discrete groups (Oslo, 1987), 467--484, Academic Press, Boston, MA, 1989. 11N35
[7] Number theory, trace formulas and discrete groups. Symposium in honor of Atle Selberg held at the University of Oslo, Oslo, June 14--20, 1987. Edited by Karl Egil Aubert, Enrico Bombieri and Dorian Goldfeld. Academic Press, Inc., Boston, MA, 1989. xxii+510 pp. ISBN: 0-12-067570-6 11-06
[8] Selberg, Atle Sieve methods. 1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969), pp. 311--351. Amer. Math. Soc., Providence, R.I., 1971. 10H30
[9] Selberg, Atle Remarks on multiplicative functions. Number theory day (Proc. Conf., Rockefeller Univ., New York, 1976), pp. 232--241. Lecture Notes in Math., Vol. 626, Springer, Berlin, 1977. 10H30
[10] Thue, Axel Selected mathematical papers. With an introduction by Carl Ludwig Siegel and a biography by Viggo Brun. Edited by Trygve Nagell, Atle Selberg, Sigmund Selberg, and Knut Thalberg. Universitetsforlaget, Oslo, 1977. 1ix+592 pp. ISBN: 82-00-01649-8 01A75 (10-03)
[11] Selberg, Atle Remarks on sieves. Proceedings of the Number Theory Conference (Univ. Colorado, Boulder, Colo., 1972), pp. 205--216. Univ. Colorado, Boulder, Colo., 1972. 10H30
[12] Selberg, Atle Recent developments in the theory of discontinuous groups of motions of symmetric spaces. 1970 Proceedings of the Fifteenth Scandinavian Congress (Oslo, 1968) Lecture Notes in Mathematics, Vol. 118 pp. 99--120 Springer, Berlin 22.70 (10.23)
[13] Selberg, Atle On the estimation of Fourier coefficients of modular forms. 1965 Proc. Sympos. Pure Math., Vol. VIII pp. 1--15 Amer. Math. Soc., Providence, R.I. 10.20
[14] Selberg, Atle Discontinuous groups and harmonic analysis. 1963 Proc. Internat. Congr. Mathematicians (Stockholm, 1962) pp. 177--189 Inst. Mittag-Leffler, Djursholm 32.65 (20.65)
[15] Selberg, Atle On discontinuous groups in higher-dimensional symmetric spaces. 1960 Contributions to function theory (internat. Colloq. Function Theory, Bombay, 1960) pp. 147--164 Tata Institute of Fundamental Research, Bombay 20.65 (22.70)
[16] Selberg, Atle On elementary methods in primenumber-theory and their limitations. Den 11te Skandinaviske Matematikerkongress, Trondheim, 1949, pp. 13--22. Johan Grundt Tanums Forlag, Oslo, 1952. 10.0X
[17] Selberg, Atle The general sieve-method and its place in prime number theory. Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 1, pp. 286--292. Amer. Math. Soc., Providence, R. I., 1952. 10.0X
[18] Selberg, Atle Reflections around the Ramanujan centenary. Ramanujan: essays and surveys, 203--213, Hist. Math., 22, Amer. Math. Soc., Providence, RI, 2001. 01A70 (11-03)
연구논문
  • Brun, Viggo;Jacobsthal, Ernst;Selberg, Atle;Siegel, Carl   Correspondence about a polynomial which is related to Riemann's zeta function. (Norwegian, German)   Norsk Mat. Tidsskr.   28     (1946)   65-71   10.0X
  • Selberg, Atle   Contributions to the theory of Dirichlet's $L$-functions   Skr. Norske Vid. Akad. Oslo. I.   1946   3   (1946)   62   10.0X
  • Selberg, Atle   On an elementary method in the theory of primes   Norske Vid. Selsk. Forh., Trondhjem   19   18   (1947)   64-67   10.0X
  • Selberg, Atle   Contributions to the theory of the Riemann zeta-function   Arch. Math. Naturvid.   48   5   (1946)   89-155   10.0X
  • Selberg, Atle   On the zeros of the zeta-function of Riemann   Norske Vid. Selsk. Forh., Trondhjem   15   16   (1942)   59-62   10.0X
  • Selberg, Atle   Remarks on a multiple integral. (Norwegian)   Norsk Mat. Tidsskr.   26     (1944)   71-78   33.0X
  • Selberg, Atle   On the remainder in the formula for $N(T)$, the number of zeros of $zeta(s)$ in the strip $0   Avh. Norske Vid. Akad. Oslo. I.   1944   1   (1944)   27   10.0X
  • Selberg, Atle   On the zeros of Riemann's zeta-function on the critical line   Arch. Math. Naturvid.   45   9   (1942)   101-114   02.0X
  • Selberg, Atle   On the normal density of primes in small intervals, and the difference between consecutive primes   Arch. Math. Naturvid.   47   6   (1943)   87-105   02.0X
  • Selberg, Atle   On the zeros of Riemann's zeta-function   Skr. Norske Vid. Akad. Oslo I.   1942   10   (1942)   59   10.0X
  • Selberg, Atle   ?ber ganzwertige ganze transzendente Funktionen. II. (German)   Arch. Math. Naturvid.   44     (1941)   171-181   30.0X
  • Selberg, Atle   ?ber einen Satz von A. Gelfond. (German)   Arch. Math. Naturvid.   44     (1941)   159-170   30.0X
  • Selberg, Atle   ?ber ganzwertige ganze transzendente Funktionen. (German)   Arch. Math. Naturvid.   44     (1941)   45-52   30.0X
  • Selberg, Atle   Beweis eines Darstellungssatzes aus der Theorie der ganzen Modulformen. (German)   Arch. Math. Naturvid.   44     (1941)   33-44   30.0X
  • Selberg, Atle   Bemerkungen ?ber eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. (German)   Arch. Math. Naturvid.   44     (1941)   47-50   30.0X
  • Selberg, Atle   The history of Rademacher's formula for the partition function $p(n)$. (Norwegian)   Normat   37   4   (1989)   141-146   11-03, 01A60, 11P82
  • Selberg, Atle   Reflections around the Ramanujan centenary. (Norwegian)   Normat   37   1   (1989)   2-7   01A60, 01A70
  • Selberg, Atle;Chowla, S.   On Epstein's zeta-function   J. Reine Angew. Math.   227     (1967)   86-110   10.41
  • Selberg, A.   Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series   J. Indian Math. Soc. (N. S.)   20     (1956)   47-87   10.1X
  • Selberg, Atle   Note on a paper by L. G. Sathe   J. Indian Math. Soc. (N. S.)   18     (1954)   83-87   10.1X
  • Selberg, Atle   An elementary proof of the prime-number theorem for arithmetic progressions   Canadian J. Math.   2     (1950)   66-78   10.0X
  • Chowla, S.;Selberg, A.   On Epstein's zeta function. I.   Proc. Nat. Acad. Sci. U. S. A.   35     (1949)   371-374   10.0X
  • Selberg, Atle   An elementary proof of the prime-number theorem   Ann. Of Math. (2)   50     (1949)   305-313   10.0X
  • Selberg, Atle   An elementary proof of Dirichlet's theorem about primes in an arithmetic progression   Ann. Of Math. (2)   50     (1949)   297-304   10.0X