
related topics 
{math, number, function} 
{work, book, publish} 
{specie, animal, plant} 
{son, year, death} 

Large sieve method in analytic number theory
BombieriLang conjecture
Enrico Bombieri (born 26 November 1940 born in Milan, Italy) is a mathematician who has been working at the Institute for Advanced Studies in Princeton, New Jersey. Bombieri research in number theory, algebraic geometry, and mathematical analysis have earned him many international prizes  a Fields Medal in 1974 and the Balzan Prize in 1980. In 2010 he received the King Faisal International Prize (jointly with Terence Tao).^{[1]}
The Bombieri–Vinogradov 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 stillunproved generalized Riemann hypothesis.
In 1976, he developed the technique known as the "asymptotic sieve".^{[2]}
Bombieri is also known for his pro bono service on behalf of the mathematics profession, e.g. for serving on external review boards and for peerreviewing extraordinarily complicated manuscripts (like the papers of John Nash on embedding Riemannian manifolds and of Per Enflo on the invariant subspace problem).
Bombieri, accomplished also in the arts, explored for wild orchids and other plants as a hobby in the Alps when a young man.
Contents
See also
Notes
References
 Bombieri, E.; Mueller, J. (1983). "On effective measures of irrationality for and related numbers". Journal für die reine und angewandte Mathematik 342: 173–196.
 Bombieri, E.; Vaaler, J. (Feb 1983). "On Siegel's lemma". Inventiones Mathematicae 73 (1): 11–32. doi:10.1007/BF01393823. http://www.springerlink.com/content/k55042224131lp42.
 E. Bombieri, Le Grand Crible dans la Théorie Analytique des Nombres (Seconde Édition). Astérisque 18, Paris 1987.
 B. Beauzamy, E. Bombieri, P. Enflo and H. L. Montgomery. "Product of polynomials in many variables", Journal of Number Theory, pages 219–245, 1990.
 Enrico Bombieri and Walter Gubler (2006). Heights in Diophantine Geometry. Cambridge U. P..
Full article ▸


related documents 
Maxim Kontsevich 
Giovanni Ceva 
National Center for Biotechnology Information 
Ada Byron's notes on the analytical engine 
Adi Shamir 
Matthew Cook 
The Free Software Definition 
Structure and Interpretation of Computer Programs 
Nevanlinna Prize 
Ron Rivest 
Robin Milner 
C. A. R. Hoare 
Vladimir Voevodsky 
Wilhelm Ackermann 
Georg Mohr 
Kazimierz Kuratowski 
Atle Selberg 
Spaced repetition 
Gábor Szegő 
MAD (programming language) 
Cypherpunk anonymous remailer 
Hill system 
SuperPoulet number 
Inductive logic programming 
Gauss–Markov process 
Karl Menger 
George Boole 
SISAL 
Niccolò Fontana Tartaglia 
Quickanddirty 
