Jean-Marc Deshouillers
Jean-Marc Deshouillers | |
|---|---|
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| Born | 12 September 1946 |
| Nationality |  France |
| Known for | Analytic number theory |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Bordeaux |
Jean-Marc Deshouillers (born on September 12, 1946[1] in Paris) is a French mathematician, whose speciality is the analytic number theory.
Education and career
Deshouillers got his PhD in 1972 at the University Paris VI Pierre et Marie Curie. He is 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 Francois 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.[2]
With Henryk Iwaniec, he improved the Kuznetsov trace formula.[3] 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.[4]
Among his students there was Gérald Tenenbaum.
Works
- Problème de Waring pour les bicarrés. Seminaire de Theorie des Nombres de Bordeaux, 1984/85, Online
References
- ^ Henryk Iwaniec: The sixtieth birthday of Jean-Marc Deshouillers. In: Functiones et Approximatio Commentarii Mathematici. Volume 37, nr. 1, 2007, pp. 7–16 (online)
- ^ Problème de Waring pour les bicarrés. In: Comptes Rendus de l'Académie des sciences. Volume 303, 1986, pp. 85, 161
- ^ Kloosterman sums and Fourier coefficients of cusp forms. In: Inventiones Mathematicae. Volume 70, 1982, pp. 219–288
- ^ 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