Jean-Marc Deshouillers

Jean-Marc Deshouillers (born on September 12, 1946^[1] in Paris) is a French mathematician, specializing in analytic number theory. He is a professor at the University of Bordeaux.

Jean-Marc Deshouillers
Born	(1946-09-12) 12 September 1946 (age 78) Paris, France
Nationality	France
Known for	Analytic number theory
Scientific career
Fields	Mathematics
Institutions	University of Bordeaux
Doctoral advisors	Charles Pisot, Heini Halberstam
Doctoral students	Étienne Fouvry Olivier Ramaré Gérald Tenenbaum Mehdi Hassani

Education and career

Deshouillers attended the Paris École Polytechnique,^[2][3] 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.^[4]

With Henryk Iwaniec, he improved the Kuznetsov trace formula.^[5] 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.^[6]

Among his students was Gérald Tenenbaum.

Works

• Problème de Waring pour les bicarrés. Séminaire de théorie des nombres de Bordeaux, 1984/85, Online

References

1. Henryk Iwaniec: The sixtieth birthday of Jean-Marc Deshouillers. In: Functiones et Approximatio Commentarii Mathematici. Volume 37, nr. 1, 2007, pp. 7–16 (online Archived 2013-10-04 at the Wayback Machine)
2. He belongs to the X1965 promotion, cf. the website of the association des anciens élèves de l'École polytechnique (the AX) Archived 2015-04-02 at the Wayback Machine (the old fellows association).
3. Website of the library of the École Polytechnique Archived 2015-03-02 at the Wayback Machine, thumb index « BCX Catalogs –> Polytechnicien family », search for « Jean-Marc Deshouillers », you get : « Deshouillers, Jean-Marc (X 1965) ».
4. Problème de Waring pour les bicarrés. In: Comptes Rendus de l'Académie des sciences. Volume 303, 1986, pp. 85, 161
5. Kloosterman sums and Fourier coefficients of cusp forms. In: Inventiones Mathematicae. Volume 70, 1982, pp. 219–288
6. 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