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Peter Gustav Lejeune Dirichlet information


Peter Gustav Lejeune Dirichlet
Born
Johann Peter Gustav Lejeune Dirichlet

(1805-02-13)13 February 1805
Düren, French Empire
Died5 May 1859(1859-05-05) (aged 54)
Göttingen, Kingdom of Hanover
NationalityGerman
Known forSee full list
AwardsPhD (Hon):
University of Bonn (1827)
Pour le Mérite (1855)
Scientific career
FieldsMathematician
InstitutionsUniversity of Breslau
University of Berlin
University of Göttingen
Thesis Partial Results on Fermat's Last Theorem, Exponent 5  (1827)
Academic advisorsSiméon Poisson
Joseph Fourier
Carl Gauss
Doctoral studentsGotthold Eisenstein
Leopold Kronecker
Rudolf Lipschitz
Carl Wilhelm Borchardt
Other notable studentsMoritz 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: [ləˈʒœn diʁiˈkleː];[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.

  1. ^ 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.

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Peter Gustav Lejeune Dirichlet

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Johann Peter Gustav Lejeune Dirichlet (German: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 May 1859) was a German mathematician. In number theory, he proved...

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Dirichlet boundary condition

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first type. It is named after Peter Gustav Lejeune Dirichlet (1805–1859). In finite-element analysis, the essential or Dirichlet boundary condition is defined...

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Dirichlet function

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mathematician Peter Gustav Lejeune Dirichlet. It is an example of a pathological function which provides counterexamples to many situations. The Dirichlet function...

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Dirichlet distribution

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In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet), often denoted Dir ⁡ ( α ) {\displaystyle \operatorname...

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Voronoi diagram

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Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). Voronoi cells are also known as Thiessen polygons...

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Pigeonhole principle

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commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 treatment of the principle by Peter Gustav Lejeune Dirichlet under the...

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Dirichlet convolution

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functions; it is important in number theory. It was developed by Peter Gustav Lejeune Dirichlet. If f , g : N → C {\displaystyle f,g:\mathbb {N} \to \mathbb...

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Analytic number theory

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to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...

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Dirichlet kernel

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In mathematical analysis, the Dirichlet kernel, named after the German mathematician Peter Gustav Lejeune Dirichlet, is the collection of periodic functions...

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Dirichlet integral

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are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet, one of which is the improper integral...

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Dirichlet series

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generalized Riemann hypothesis. The series is named in honor of Peter Gustav Lejeune Dirichlet. Dirichlet series can be used as generating series for counting weighted...

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Dirichlet energy

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after the German mathematician Peter Gustav Lejeune Dirichlet. Given an open set Ω ⊆ Rn and a function u : Ω → R the Dirichlet energy of the function u is...

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List of things named after Peter Gustav Lejeune Dirichlet

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mathematician Peter Gustav Lejeune Dirichlet (1805–1859) is the eponym of many things. Theorems named Dirichlet's theorem: Dirichlet's approximation theorem...

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Dirichlet process

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In probability theory, Dirichlet processes (after the distribution associated with Peter Gustav Lejeune Dirichlet) are a family of stochastic processes...

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Joseph Fourier

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the method was general, but he had not pursued the subject. Peter Gustav Lejeune Dirichlet was the first to give a satisfactory demonstration of it with...

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Dirichlet character

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m)>1\\1&{\text{if }}\gcd(a,m)=1.\end{cases}}} The German mathematician Peter Gustav Lejeune Dirichlet—for whom the character is named—introduced these functions in...

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Leopold Kronecker

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mathematics with Peter Gustav Lejeune Dirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision. After...

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May 5

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Robert Inglis, 2nd Baronet, English politician (b. 1786) 1859 – Peter Gustav Lejeune Dirichlet, German mathematician and academic (b. 1805) 1860 – Jean-Charles...

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Number theory

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Last Theorem for n = 5 {\displaystyle n=5} (completing work by Peter Gustav Lejeune Dirichlet, and crediting both him and Sophie Germain). In his Disquisitiones...

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Nowhere continuous function

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continuous. Functions of this type were originally investigated by Peter Gustav Lejeune Dirichlet. A function f : R → R {\displaystyle f:\mathbb {R} \to \mathbb...

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Algebraic number theory

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nineteenth century European mathematicians including Ernst Kummer, Peter Gustav Lejeune Dirichlet and Richard Dedekind. Many of the annotations given by Gauss...

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