Jean-Marc Deshouillers (born on September 12, 1946Henryk Iwaniec: The sixtieth birthday of Jean-Marc Deshouillers. In: Functiones et Approximatio Commentarii Mathematici. Volume 37, nr. 1, 2007, pp. 7–16 (online ) in Paris) is a French mathematician, specializing in analytic number theory. He is a professor at the University of Bordeaux.
Education and career Deshouillers attended the Paris École Polytechnique,He belongs to the X1965 promotion, cf. the website of the association des anciens élèves de l'École polytechnique (the AX) (the old fellows association).Website of the library of the École Polytechnique , thumb index « BCX Catalogs –> Polytechnicien family », search for « Jean-Marc Deshouillers », you get : « Deshouillers, Jean-Marc (X 1965) ». graduating with an engineer diploma in 1968.
He received his PhD in 1972 at the University Paris VI Pierre et Marie Curie.
In the seventies, he was assistant professor in mathematics at the École Polytechnique, which moved from Paris to Palaiseau.
Deshouillers is a professor at the University of Bordeaux. In 2009 he was at the Institute for Advanced Study.
Contributions In 1985 he showed with Ramachandran Balasubramanian and François Dress that, in the case of the fourth powers of Waring's problem, the least number of fourth powers that is necessary to express any positive integer as a sum of fourth powers is 19.Problème de Waring pour les bicarrés. In: Comptes Rendus de l'Académie des sciences. Volume 303, 1986, pp. 85, 161
With Henryk Iwaniec, he improved the Kuznetsov trace formula.Kloosterman sums and Fourier coefficients of cusp forms. In: Inventiones Mathematicae. Volume 70, 1982, pp. 219–288 In 1997, with Effinger and Herman te Riele, he proved the ternary Goldbach conjecture (every odd number greater than 5 is a sum of three prime numbers) under the Generalized Riemann Hypothesis.A complete Vinogradov 3-primes theorem under the Riemann hypothesis. In: Electronic Research Announcements of the AMS. Volume 3, 1997, pp. 99–104, 17. September 1997 Together with François Dress and Gérald Tenenbaum he discovered the DDT theorem.
Among his students was Gérald Tenenbaum.
Works Problème de Waring pour les bicarrés. Séminaire de théorie des nombres de Bordeaux, 1984/85, Online
References