"Dirichlet" redirects here. For other uses, see Dirichlet (disambiguation).
In this article, the surname is Lejeune Dirichlet.
Peter Gustav Lejeune Dirichlet
Born
Johann Peter Gustav Lejeune Dirichlet
(1805-02-13)13 February 1805
Düren, French Empire
Died
5 May 1859(1859-05-05) (aged 54)
Göttingen, Kingdom of Hanover
Nationality
German
Known for
See full list
Awards
PhD (Hon): University of Bonn (1827) Pour le Mérite (1855)
Scientific career
Fields
Mathematician
Institutions
University of Breslau University of Berlin University of Göttingen
Thesis
Partial Results on Fermat's Last Theorem, Exponent 5 (1827)
Academic advisors
Siméon Poisson Joseph Fourier Carl Gauss
Doctoral students
Gotthold Eisenstein Leopold Kronecker Rudolf Lipschitz Carl Wilhelm Borchardt
Other notable students
Moritz Cantor Elwin Bruno Christoffel Richard Dedekind Alfred Enneper Eduard Heine Bernhard Riemann Ludwig Schläfli Ludwig von Seidel Wilhelm Weber Julius Weingarten
Johann Peter Gustav Lejeune Dirichlet (German:[ləˈʒœndiʁiˈkleː];[1] 13 February 1805 – 5 May 1859) was a German mathematician. In number theory, he proved special cases of Fermat's last theorem and created analytic number theory. In analysis, he advanced the theory of Fourier series and was one of the first to give the modern formal definition of a function. In mathematical physics, he studied potential theory, boundary-value problems, and heat diffusion, and hydrodynamics.
Although his surname is Lejeune Dirichlet, he is commonly referred to by his mononym Dirichlet, in particular for results named after him.
^Dudenredaktion (2015). Duden – Das Aussprachewörterbuch: Betonung und Aussprache von über 132.000 Wörtern und Namen [Duden – The Pronouncing Dictionary: accent and pronunciation of more than 132.000 words and names]. Duden - Deutsche Sprache in 12 Bänden (in German). Vol. 6. 312. ISBN 978-3-411-91151-6.
and 21 Related for: Peter Gustav Lejeune Dirichlet information
Johann PeterGustavLejeuneDirichlet (German: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 May 1859) was a German mathematician. In number theory, he proved...
first type. It is named after PeterGustavLejeuneDirichlet (1805–1859). In finite-element analysis, the essential or Dirichlet boundary condition is defined...
mathematician PeterGustavLejeuneDirichlet. It is an example of a pathological function which provides counterexamples to many situations. The Dirichlet function...
In probability and statistics, the Dirichlet distribution (after PeterGustavLejeuneDirichlet), often denoted Dir ( α ) {\displaystyle \operatorname...
Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after PeterGustavLejeuneDirichlet). Voronoi cells are also known as Thiessen polygons...
commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 treatment of the principle by PeterGustavLejeuneDirichlet under the...
functions; it is important in number theory. It was developed by PeterGustavLejeuneDirichlet. If f , g : N → C {\displaystyle f,g:\mathbb {N} \to \mathbb...
to have begun with PeterGustavLejeuneDirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...
In mathematical analysis, the Dirichlet kernel, named after the German mathematician PeterGustavLejeuneDirichlet, is the collection of periodic functions...
are several integrals known as the Dirichlet integral, after the German mathematician PeterGustavLejeuneDirichlet, one of which is the improper integral...
generalized Riemann hypothesis. The series is named in honor of PeterGustavLejeuneDirichlet. Dirichlet series can be used as generating series for counting weighted...
after the German mathematician PeterGustavLejeuneDirichlet. Given an open set Ω ⊆ Rn and a function u : Ω → R the Dirichlet energy of the function u is...
mathematician PeterGustavLejeuneDirichlet (1805–1859) is the eponym of many things. Theorems named Dirichlet's theorem: Dirichlet's approximation theorem...
In probability theory, Dirichlet processes (after the distribution associated with PeterGustavLejeuneDirichlet) are a family of stochastic processes...
the method was general, but he had not pursued the subject. PeterGustavLejeuneDirichlet was the first to give a satisfactory demonstration of it with...
m)>1\\1&{\text{if }}\gcd(a,m)=1.\end{cases}}} The German mathematician PeterGustavLejeuneDirichlet—for whom the character is named—introduced these functions in...
mathematics with PeterGustavLejeuneDirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision. After...
Robert Inglis, 2nd Baronet, English politician (b. 1786) 1859 – PeterGustavLejeuneDirichlet, German mathematician and academic (b. 1805) 1860 – Jean-Charles...
Last Theorem for n = 5 {\displaystyle n=5} (completing work by PeterGustavLejeuneDirichlet, and crediting both him and Sophie Germain). In his Disquisitiones...
continuous. Functions of this type were originally investigated by PeterGustavLejeuneDirichlet. A function f : R → R {\displaystyle f:\mathbb {R} \to \mathbb...
nineteenth century European mathematicians including Ernst Kummer, PeterGustavLejeuneDirichlet and Richard Dedekind. Many of the annotations given by Gauss...