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

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

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

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

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

convergence of Fourier series. The original test was established by Peter Gustav Lejeune Dirichlet in 1829, for piecewise monotone functions. It was extended in...

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...

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...

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

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...

a Dirichlet L-function and also denoted L(s, χ). These functions are named after Peter Gustav Lejeune Dirichlet who introduced them in (Dirichlet 1837)...

and Dirichlet's theorem states that this sequence contains infinitely many prime numbers. The theorem, named after Peter Gustav Lejeune Dirichlet, extends...

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...

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

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

making the Dirichlet's integral finite). This concept is named after the German mathematician Peter Gustav Lejeune Dirichlet. The name "Dirichlet's principle"...

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...

mathematics, Dirichlet's test is a method of testing for the convergence of a series. It is named after its author Peter Gustav Lejeune Dirichlet, and was...

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

Dirichlet's theorem may refer to any of several mathematical theorems due to Peter Gustav Lejeune Dirichlet. Dirichlet's theorem on arithmetic progressions...

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...

different textbooks of number theory. The best known was written by Peter Gustav Lejeune Dirichlet and Richard Dedekind, and published in 1863. Others were written...

In mathematics, Dirichlet's unit theorem is a basic result in algebraic number theory due to Peter Gustav Lejeune Dirichlet. It determines the rank of...

In mathematics, the Dirichlet density (or analytic density) of a set of primes, named after Peter Gustav Lejeune Dirichlet, is a measure of the size of...

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...

In astrophysics, Dirichlet's ellipsoidal problem, named after Peter Gustav Lejeune Dirichlet, asks under what conditions there can exist an ellipsoidal...

series, the latter paving the way for the classic researches of Peter Gustav Lejeune Dirichlet and Bernhard Riemann on the same subject; these are to be found...

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

region by the volume of the region, to complete the proof. Peter Gustav Lejeune Dirichlet published a proof of the class number formula for quadratic...

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