Jean-Marc Deshouillers (born on September 12, 1946 in
Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), ma ...
) is a French mathematician, specializing in analytic number theory. He is a professor at the
University of Bordeaux
The University of Bordeaux (French: ''Université de Bordeaux'') is a Lists of universities in France, public university based in Nouvelle-Aquitaine in Southern France, southwestern France.
It has several campuses in the cities and towns of Bor ...
.
Education and career
Deshouillers attended the Paris
École Polytechnique
École may refer to:
* an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine flowing in région Île-de-France
* École, Savoi ...
,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
Palaiseau () is a commune in the southern suburbs of Paris, France. It is located from the centre of Paris. Palaiseau is a sub-prefecture of the Essonne department and the seat of the Arrondissement of Palaiseau.
Inhabitants of Palaiseau ar ...
.
Deshouillers is a professor at the University of Bordeaux. In 2009 he was at the
Institute for Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...
.
Contributions
In 1985 he showed with Ramachandran Balasubramanian and Francois Dress that, in the case of the fourth powers of
Waring's problem
In number theory, Waring's problem asks whether each natural number ''k'' has an associated positive integer ''s'' such that every natural number is the sum of at most ''s'' natural numbers raised to the power ''k''. For example, every natural numb ...
, the least number of fourth powers that is necessary to express any positive integer as a sum of fourth powers is 19.
With
Henryk Iwaniec
Henryk Iwaniec (born October 9, 1947) is a Polish-American mathematician, and since 1987 a professor at Rutgers University.
Background and education
Iwaniec studied at the University of Warsaw, where he got his PhD in 1972 under Andrzej Schin ...
, he improved the Kuznetsov trace formula. 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 number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s) under the
Generalized Riemann Hypothesis
The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so-called global ''L''-functions, whic ...
.''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
Among his students was
Gérald Tenenbaum
Gérald Tenenbaum is a French mathematician and novelist, born in Nancy on 1 April 1952.Online