Jean-Marc Deshouillers | |
|---|---|
 | |
| Born | 12 September 1946 |
| 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 |
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.
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.
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. [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.
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 number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward Waring, after whom it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject Classification, 11P05, "Waring's problem and variants".
In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that
Jacques Salomon Hadamard was a French mathematician who made major contributions in number theory, complex analysis, differential geometry and partial differential equations.
The École Polytechnique is one of the most prestigious and selective grandes écoles in France. It is a French public institution of higher education and research in Palaiseau, a suburb south of Paris. The school is a constituent member of the Polytechnic Institute of Paris.
Laurent-Moïse Schwartz was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the École polytechnique.
Léon Cogniet was a French history and portrait painter. He is probably best remembered as a teacher, with more than one hundred notable students.
Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université.
Paul Tannery was a French mathematician and historian of mathematics. He was the older brother of mathematician Jules Tannery, to whose Notions Mathématiques he contributed an historical chapter. Though Tannery's career was in the tobacco industry, he devoted his evenings and his life to the study of mathematicians and mathematical development.
At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as "unattackable at the present state of mathematics" and are now known as Landau's problems. They are as follows:
Henryk Iwaniec is a Polish-American mathematician, and since 1987 a professor at Rutgers University.
French university associations known as "pôles de recherche et d'enseignement supérieur" were a form of higher-level organization for universities and other institutions established by French law in effect from 2007 to 2013. The 2013 Law on Higher Education and Research (France) discontinued the PRES; these have been largely replaced by the new Communities of Universities and Institutions. The list below indicates the status of those institutions designated as PRES or related associations before the 2013 law took effect. See the list of public universities in France for the current status of these institutions.
Ramachandran Balasubramanian is an Indian mathematician and was Director of the Institute of Mathematical Sciences in Chennai, India. He is known for his work in number theory, which includes settling the final g(4) case of Waring's problem in 1986.
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important unsolved problem in pure mathematics. It is of great interest in number theory because it implies results about the distribution of prime numbers. It was proposed by Bernhard Riemann (1859), after whom it is named.
IONIS Education Group is a private, for-profit, higher education group in France. It was created in 1980 and by 2021 had more than 30,000 students and 80,000 alumni. There are 26 further education colleges in the group.
Jean-Michel Bony is a French mathematician, specializing in mathematical analysis. He is known for his work on microlocal analysis and pseudodifferential operators.
Jean-Pierre Dupuy is a French engineer and philosopher.
Paul Jean Joseph Barbarin was a French mathematician, specializing in geometry.
COUPERIN is an academic consortium in France. Formed in 1999, it includes more than 250 universities, research organizations, Grandes écoles (schools), COMUE, and others. The consortium negotiates with publishers the prices and conditions of access to scientific publications and other digital resources for the benefit of its members. It promotes open science, particularly with regard to scientific publications, both nationally and internationally. It is headquartered in Paris.
Jean-Benoît Bost is a French mathematician.
Dinh Tien-Cuong is a Vietnamese mathematician educated by the French school of mathematics, and Provost’s chair professor at National University of Singapore (NUS). He held professorship at Pierre and Marie Curie University (2005-2014), part-time professorship at Ecole Polytechnique de Paris (2005-2014) and at Ecole Normale Supérieure de Paris (2012-2014). He is known for his work on Several Complex Variables and Complex Dynamical Systems in Higher Dimension.
| General | |
|---|---|
| National libraries | |
| Scientific databases | |
| Other | |
