Keith Laumer

Atle Selberg (born the June 17th 1917 with Langesund and dead the August 6th 2007) is a Norwegian Mathématicien known for its work in analytical Théorie of the numbers and in the theory of the forms automorphes, in particular in connection with the spectral Théorie.

As of its youth, it was influenced by the work of Ramanujan. It made its studies at the university of Oslo and supported its doctorate in 1943. During the Second world war, he worked only because of the occupation of Norway by the Nazi S. After the war, his results quickly became famous, in particular his proof that a positive proportion of the zeros of the Fonction Zeta of Riemann have real part 1/2. It was then interested in the Théorie of the screen, a subject neglected before which it carried in the foreground. Into an article of 1947, it introduced the Crible of Selberg, a méhode which leads inter alia to the theorem of Chen. Then, in 1948 it gave with Paul Erdös an elementary proof of the Théorème of the prime numbers (with a controversy between them on the attribution of the priority). For all this work, Selberg received the Médaille Fields in 1950.

Selberg left to the the United States to settle in Institute for Advanced Study in 1950 and it works there until the end of its life. During the Fifties, he worked on the use of the spectral Théorie in Théorie of the numbers, with like culminating point the development of the Formule of the traces of Selberg, his most famous result. This formula establishes a duality between the spectrum lengths of the Géodésique S periodicals of a Surface of Riemann and the eigenvalues of the Laplacian, which is an analog of the duality between the prime numbers and the zeros of the function \ zeta. It received the Prix Wolf in 1986.

Works

  • Collected Papers I. (Springer-Verlag, Heidelberg, 1989), ISBN 3540183892
  • Atle Selberg Collected Papers: 001 (Springer-Verlag, Heidelberg), ISBN 0387183892
  • Collected Papers (Springer-Verlag, Heidelberg May 1998), ISBN 3540506268

External bond

  • Atle Selberg

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