- Atle Selberg
**Atle Selberg**(June 14 ,1917 –August 6 ,2007 ) was a Norwegianmathematician known for his work inanalytic number theory , and in the theory ofautomorphic form s, in particular bringing them into relation withspectral theory .**Early years**Selberg was born in

Langesund ,Norway . While he was still at school he was influenced by the work ofSrinivasa Ramanujan and he discovered the exact analytical formula for the partition function as suggested by the works of Ramanujan, however, this result was first published byHans Rademacher .During the war he fought against the German invasion of Norway, and was imprisoned a few times. He studied at the

University of Oslo and completed hisPh.D. in 1943.**Second world war**During the

second world war he worked in isolation due to the German military occupation ofNorway . After the war his accomplishments became known, including a proof that a positive proportion of the zeros of theRiemann zeta function lie on the line Re(s)=1/2. After the war he turned tosieve theory , a previously neglected topic which Selberg's work brought into prominence. In a 1947 paper he introduced theSelberg sieve , a method well adapted in particular to providing auxiliary upper bounds, and which contributed toChen's theorem , among other important results. Then in 1948 Selberg gave anelementary proof of theprime number theorem .Paul Erdős used Selberg's work to obtain a proof around the same time, leading to a dispute between them about to whom this result should primarily be attributed. For all these accomplishments Selberg received the 1950Fields Medal .**Institute for Advanced Study**Selberg moved to the

United States and settled at theInstitute for Advanced Study inPrinceton, New Jersey in the 1950s where he remained until his death. During the 1950s he worked on introducingspectral theory intonumber theory , culminating in his development of theSelberg trace formula , the most famous and influential of his results. This establishes a duality between the length spectrum of acompact Riemann surface and theeigenvalue s of theLaplacian , which is analogous to the duality between theprime number s and the zeros of the zeta function. He was awarded the 1986Wolf Prize in Mathematics .Selberg received many distinctions for his work in addition to the

Fields Medal andWolf Prize . He was elected to the Norwegian Academy of Sciences, the Royal Danish Academy of Sciences and theAmerican Academy of Arts and Sciences .Selberg had two children, Ingrid Selberg and Lars Selberg. Ingrid Selberg is married to playwright

Mustapha Matura .He died at home on

6 August 2007 , of heart failure. [*cite news |first= |last= |authorlink= |coauthors= |title=Atle Selberg, 90, Lauded Mathematician, Dies |publisher=*]New York Times |date=2007-08-17 |accessdate=2007-07-21**elected publications***"Atle Selberg Collected Papers: 1" (Springer-Verlag, Heidelberg), ISBN 0387183892

*"Collected Papers" (Springer-Verlag, Heidelberg Mai 1998), ISBN 3540506268**ee also***

Critical line theorem

*Chowla-Selberg formula

*Selberg class

*Selberg integral

*Selberg trace formula

*Selberg zeta function **Notes****References***citation|url=http://www.ams.org/bull/2008-45-04/S0273-0979-08-01223-8/

first=Nils A.|last= Baas|first2= Christian F.|last2= Skau

journal= Bull. Amer. Math. Soc. |volume=45 |year=2008|pages= 617-649

title=The lord of the numbers, Atle Selberg. On his life and mathematics Interview with Selberg*

*citation|last=Selberg |url=http://www.ias.ac.in/resonance/Dec1996/pdf/Dec1996Reflections.pdf |title=Reflections Around the Ramanujan Centenary|year=1996

*

* [*http://www.ias.edu/newsroom/announcements/view/1186683853.html Obituary at IAS*]

* [*http://www.timesonline.co.uk/tol/comment/obituaries/article2477242.ece Obituary in "The Times"*]

*Wikimedia Foundation.
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**Atle Selberg**— (* 14. Juni 1917 in Langesund, Norwegen; † 6. August 2007 in Princeton, New Jersey) war ein norwegisch US amerikanischer Mathematiker, der 1950 mit der Fields Medaille für seine herausragenden Arbeiten auf dem Gebiet der Zah … Deutsch Wikipedia**Atle Selberg**— (né le 17 juin 1917 à Langesund (en) (Norvège) et mort le 6 août 2007 à Princeton (New Jersey)) est un mathématicien … Wikipédia en Français**Atle Selberg**— Saltar a navegación, búsqueda Atle Selberg Atle Selberg (14 de junio de 1917 6 de agosto de 2007) fue un matemático noruego, conocido por sus trabajos en la teoría analítica de los números y sobre la hipótesis d … Wikipedia Español**Selberg**— steht für: Atle Selberg (1917–2007), norwegisch US amerikanischer Mathematiker Selberg (Donnersbergkreis), ein Berg im Donnersbergkreis Selberg (Landkreis Kusel), ein Berg im Landkreis Kusel Kleiner Selberg, ein Berg in Vlotho im Landkreis… … Deutsch Wikipedia**Selberg**— can refer to:* Atle Selberg, a Norwegian mathematician * Erik Selberg, an American computer scientist … Wikipedia**Selberg integral**— In mathematics the Selberg integral is a generalization of Euler beta function to n dimensions introduced and proven by Atle Selberg (1944). Contents 1 Selberg s integral formula 2 Aomoto s integral formula 3 Mehta s integral … Wikipedia**Selberg class**— In mathematics, the Selberg class S is an axiomatic definition of the class of L functions. The members of the class are Dirichlet series which obey four axioms that seem to capture the essential properties satisfied by most functions that are… … Wikipedia**Selberg trace formula**— In mathematics, the Selberg trace formula is a central result, or area of research, in non commutative harmonic analysis. It provides an expression for the trace, in a sense suitably generalising that of the trace of a matrix, for suitable… … Wikipedia**Selberg zeta function**— The Selberg zeta function was introduced by Atle Selberg in the 1950s. It is analogous to the famous Riemann zeta function :zeta(s) = prod {pinmathbb{P frac{1}{1 p^{ s where mathbb{P} is the set of prime numbers. The Selberg zeta function uses… … Wikipedia**Selberg sieve**— In mathematics, in the field of number theory, the Selberg sieve is a technique for estimating the size of sifted sets of positive integers which satisfy a set of conditions which are expressed by congruences. It was developed by Atle Selberg in… … Wikipedia