The importance of the Selberg integral

  title={The importance of the Selberg integral},
  author={Peter J. Forrester and S. Ole Warnaar},
  journal={Bulletin of the American Mathematical Society},
It has been remarked that a fair measure of the impact of Atle Selberg’s work is the number of mathematical terms that bear his name. One of these is the Selberg integral, an n-dimensional generalization of the Euler beta integral. We trace its sudden rise to prominence, initiated by a question to Selberg from Enrico Bombieri, more than thirty years after its initial publication. In quick succession the Selberg integral was used to prove an outstanding conjecture in random matrix theory and… 
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