Jean-Marc Deshouillers

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

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

In 1985, he exhibited with Ramachandran Balasubramanian and Francois Dress that in the case of fourth powers of Waring's problem is the minimum number of powers for the representation of a natural number 19. With Henryk Iwaniec, he expanded 1982, the trace formula of Kuznetsov ( Kloostermannsummen with the Fourier coefficients of modular forms connects ) and combined them with the large sieve.

In 1997 he broke with G. Effinger, Herman te Riele and D. Zinoviev, the ternary Goldbach conjecture ( every odd number greater than 5 is represented as the sum of three primes ) under the assumption of the generalized Riemann hypothesis.

His doctoral include Étienne Fouvry and Gérald Tenenbaum.

Writings

• Problème de Waring pour les bicarrés. Seminaire de Nombres de Bordeaux theory of, 1984/85, online