Étienne Fouvry

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Étienne Fouvry

Étienne Fouvry is a French mathematician who studies analytical number theory.

Fouvry studied from 1972 at the École normal supérieure and received his doctorate in 1981 at the University of Bordeaux under Henryk Iwaniec (and Jean-Marc Deshouillers ) ( Repartitions des suites dans les progressions arithmetiques ). He is a professor at the University of Paris-South in Orsay .

Fouvry applied methods of analytical number theory to Fermat's conjecture . Building on this, Roger Heath-Brown and Leonard Adleman were able to prove in 1985 that the first case of Fermat's conjecture is true for an infinite number of prime numbers. A number theoretical result by Fouvry from his Inventiones Mathematicae essay from 1985 was also an important building block in the proof Prime is in P by Manindra Agrawal , Kayal and Saxena (2001).

With Iwaniec he achieved profound results on prime numbers in arithmetic sequences beyond the Bombieri-Vinogradov theorem, with applications in the theory of twin prime numbers . They used estimates of Kloosterman sums according to Jean-Marc Deshouillers and Iwaniec.

In addition to analytical number theory, Fouvry also deals with algebraic and algorithmic number theory, for example with Cohen - Lenstra heuristics.

Fonts

  • Cinquante Ans de Theory Analytique des Nombres - Un point de vue parmi d'autres: celui des methodes de crible. In: Jean-Paul Pier (editor): Development of Mathematics 1950–2000. Birkhäuser 2000
  • Sur le premier cas du théorème de Fermat. Seminaire de Theory des Nombres de Bordeaux 1984, online

Web links

Individual evidence

  1. ^ Acta Arithmetica. Volume 41, 1982, pp. 359-382
  2. ^ Theorem de Brun-Titchmarsh, application au theorem de Fermat. In: Inventiones Mathematicae. Volume 79, 1985, pp. 383-407, online  ( page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.@1@ 2Template: Toter Link / gdz.sub.uni-goettingen.de  
  3. ^ Inventiones Mathematicae. Volume 79, 1985, p. 409
  4. ^ Primes in arithmetic progressions. In: Acta Arithmetica. Volume 42, 1983, p. 197, online, pdf . Improved by Enrico Bombieri , Friedlander, Iwaniec Primes in arithmetic progressions to large moduli. In: Acta Mathematica. Volume 156, pp. 203-251
personal data
SURNAME Fouvry, Etienne
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 20th century