Arithmetic applications of Kloosterman sums
@inproceedings{HeathBrown2000ArithmeticAO, title={Arithmetic applications of Kloosterman sums}, author={D. R. Heath-Brown and Kloosterman Centennial Celebration}, year={2000} }
Last April saw the 100-th anniversary of the birth of H.D. Kloosterman. The occasion was celebrated by a one day meeting in Leiden, and this article is a report on one of the lectures given. It describes one of Kloosterman’s abiding contributions to mathematics, the exponential sum which now bears his name. Kloosterman sums may appear somewhat technical at first glance, but they are of frequent occurence throughout analytic number theory, and their use has brought numerous diverse applications.
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