Enrico Bombieri (born November 26, 1940) is a Italian mathematician, born in Milan. He is now at the Institute for Advanced Study. He is known for work in number theory, algebraic geometry, and mathematical analysis. He was awarded a Fields Medal in 1974.
Bombieri's theorem is one of the major applications of the large sieve method . It improves Dirichlet's theorem on prime numbers in arithmetic progressions, by showing that by averaging over the modulus over a range, the mean error is much less than can be proved in a given case. This result can sometimes substitute for the still-unproved generalized Riemann hypothesis.
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