Jean-Marc Deshouillers

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Jean-Marc Deshouillers (2008)

Jean-Marc Deshouillers (born September 12, 1946 in Paris ) is a French mathematician who deals with analytical number theory.

Deshouillers was at the 1972 University of Paris VI (Pierre et Marie Curie) at Charles Pisot (and Heini Halberstam ) PhD . He was a professor at the University of Bordeaux . In 1984/85, 1990/91 and again in 2009 he was at the Institute for Advanced Study .

In 1985 he showed with Ramachandran Balasubramanian and Francois Dress that in the case of fourth powers of Waring's problem the minimum number of powers to represent a natural number is 19. With Henryk Iwaniec in 1982 he expanded Kuznetsov's trace formula (which combines Kloostermann sums with Fourier coefficients of modular forms) and combined it with the Great Sieve.

In 1997, together with G. Effinger, Herman te Riele and D. Zinoviev, he solved the ternary Goldbach conjecture (every odd number greater than 5 can be represented as the sum of three prime numbers), assuming the generalized Riemann conjecture .

His doctoral students include Étienne Fouvry , Alain Plagne and Gérald Tenenbaum .

Fonts

  • Problems of Waring pour les bicarrés. Seminaire de Theory des Nombres de Bordeaux, 1984/85, online

Individual evidence

  1. ↑ Henryk Iwaniec: The sixtieth birthday of Jean-Marc Deshouillers. In: Functiones et Approximatio Commentarii Mathematici. Volume 37, No. 1, 2007, pp. 7–16 ( online ( memento of the original from October 4, 2013 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. ) @1@ 2Template: Webachiv / IABot / projecteuclid.org
  2. ↑ Problems of Waring pour les bicarrés. In: Comptes Rendus de l'Académie des sciences. Volume 303, 1986, pp. 85, 161
  3. ^ Kloosterman sums and Fourier coefficients of cusp forms. In: Inventiones Mathematicae. Volume 70, 1982, pp. 219-288
  4. ^ A complete Vinogradov 3-primes theorem under the Riemann hypothesis. In: Electronic Research Announcements of the AMS. Volume 3, 1997, pp. 99-104, September 17, 1997
personal data
SURNAME Deshouillers, Jean-Marc
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH September 12, 1946
PLACE OF BIRTH Paris