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Bombieri norm information


In mathematics, the Bombieri norm, named after Enrico Bombieri, is a norm on homogeneous polynomials with coefficient in or (there is also a version for non homogeneous univariate polynomials). This norm has many remarkable properties, the most important being listed in this article.

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Bombieri norm

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In mathematics, the Bombieri norm, named after Enrico Bombieri, is a norm on homogeneous polynomials with coefficient in R {\displaystyle \mathbb {R}...

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Enrico Bombieri

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Enrico Bombieri (born 26 November 1940) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis...

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Per Enflo

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to other norms on the vector space of homogeneous polynomials. Of these norms, the most used has been the Bombieri norm. The Bombieri norm is defined...

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Mahler measure

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depending on the solution to Lehmer's problem. Bombieri norm Height of a polynomial Although this is not a true norm for values of τ < 1 {\displaystyle \tau...

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Norm form

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Amsterdam: North-Holland Publishing Co., p. 29, ISBN 9781483259277, MR 0271032. Bombieri, Enrico; Gubler, Walter (2006), Heights in Diophantine geometry, New Mathematical...

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Subspace theorem

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by Dirichlet's theorem on diophantine approximation. Bombieri & Gubler (2006) pp. 176–230. Bombieri, Enrico; Gubler, Walter (2006). Heights in Diophantine...

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Height function

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function Raynaud's isogeny theorem Lang (1997, pp. 43–67) Bombieri and Gubler (2006, pp. 15–21) Bombieri and Gubler (2006, pp. 176–230) Vojta (1987) Faltings (1991)...

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Cubic threefold

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threefold Segre cubic Bombieri, Enrico; Swinnerton-Dyer, H. P. F. (1967), "On the local zeta function of a cubic threefold", Ann. Scuola Norm. Sup. Pisa (3)...

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Geometry of numbers

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Wolfgang M. Norm form equations. Ann. Math. (2) 96 (1972), pp. 526–551. See also Schmidt's books; compare Bombieri and Vaaler and also Bombieri and Gubler...

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Large sieve

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Enrico Bombieri. It is also around that time that the connection with the duality principle became better understood. In the mid-1960s, the Bombieri–Vinogradov...

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Terence Tao

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2013. Retrieved 21 November 2013. His 2009 induction ceremony is here. "Bombieri and Tao Receive King Faisal Prize" (PDF). Notices of the American Mathematical...

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Weil conjectures

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pure mathematics, vol. 29, ISBN 0-8218-1429-X Moreno, O. (2001) [1994], "Bombieri–Weil bound", Encyclopedia of Mathematics, EMS Press Rankin, Robert A.;...

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Richard Schoen

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"Estimates for stable minimal surfaces in three-dimensional manifolds". In Bombieri, Enrico (ed.). Seminar on minimal submanifolds. Annals of Mathematics Studies...

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List of conjectures

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conjecture Salomon Bochner and Marcel Riesz 236 Bombieri–Lang conjecture diophantine geometry Enrico Bombieri and Serge Lang 181 Borel conjecture geometric...

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List of theorems

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Bolzano–Weierstrass theorem (real analysis, calculus) Bombieri's theorem (number theory) Bombieri–Friedlander–Iwaniec theorem (number theory) Bondareva–Shapley...

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David Mumford

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classification of surfaces in characteristic p (written in collaboration with E. Bombieri). This pathology can now be explained in terms of the Picard scheme of...

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List of unsolved problems in mathematics

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ring of integers of a number field to the field's Dedekind zeta function. Bombieri–Lang conjectures on densities of rational points of algebraic surfaces...

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Fano surface

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Hodge theory Bombieri, Enrico; Swinnerton-Dyer, H. P. F. (1967), "On the local zeta function of a cubic threefold", Ann. Scuola Norm. Sup. Pisa (3)...

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List of people from Italy

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known as the original discoverer of Helicobacter pylori (1893) Enrico Bombieri (born 1940), mathematician who was awarded the Fields Medal in 1974 for...

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