Johann Peter Gustav Lejeune Dirichlet was a German mathematician, born on 13 February 1805 and died on 5 May 1859. 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, heat diffusion and hydrodynamics. His surname is Lejeune Dirichlet, but he is commonly called Dirichlet, particularly for results named after him.
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Source Dirichlet Eta Function (Wikipedia)
Source Dirichlet Function (Wikipedia)
In Branch
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Mentored
Source Leopold Kronecker (Wikipedia)
Mentored By
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Source Peter Gustav Lejeune Dirichlet (Wikipedia)
Proofs Credited
Source Dirichlet Kernel (Wikipedia)
Source Dirichlet's approximation theorem, Wikipedia
Source Dirichlet's Unit Theorem (Wikipedia)
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1. Peter Gustav Lejeune Dirichlet (Wikipedia)
Lead paragraph
he proved special cases of Fermat's Last Theorem and created an
Lead paragraph [nationality-culture]
was a German mathematician
In Branch: Number Theory, Lead paragraph [in-branch]
In number theory
In Branch: Analytic Number Theory, Lead paragraph [in-branch 2]
created analytic number theory
In Branch: Analysis, Lead paragraph [in-branch 3]
In analysis
In Branch: Potential Theory, Lead paragraph [in-branch 4]
potential theory
- Mentored By: Carl Friedrich Gauss, Infobox, doctoral advisor or academic advisors
- Mentored By: Simeon Denis Poisson, Infobox, doctoral advisor or academic advisors
View the SourceDirichlet's Unit Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Dirichlet's Unit Theorem, Lead paragraphQuote, Proofs Credited: Dirichlet's Unit Theorem, Lead paragraph
In mathematics, Dirichlet's unit theorem is a basic result in algebraic number theory due to Peter Gustav Lejeune Dirichlet. It determines the rank
Dirichlet's approximation theorem, Wikipedia
Proofs Credited: Dirichlet's Approximation Theorem, Lead paragraphQuote, Proofs Credited: Dirichlet's Approximation Theorem, Lead paragraph
In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers
Dirichlet Kernel (Wikipedia)
Proofs Credited: Dirichlet Kernel, Lead paragraphQuote, Proofs Credited: Dirichlet Kernel, Lead paragraph
In mathematical analysis, the Dirichlet kernel, is the collection of periodic functions defined as
Dirichlet Function (Wikipedia)
Attributed Works: Dirichlet Function, Lead paragraphQuote, Attributed Works: Dirichlet Function, Lead paragraph
In mathematics, the Dirichlet function is the indicator function
Dirichlet Eta Function (Wikipedia)
Attributed Works: Dirichlet Eta Function, Lead paragraphQuote, Attributed Works: Dirichlet Eta Function, Lead paragraph
In mathematics, in the area of analytic number theory, the Dirichlet eta function is defined by the following Dirichlet series, which converges for any complex number having real part greater
Leopold Kronecker (Wikipedia)
Mentored: Leopold Kronecker, Infobox, doctoral advisor or academic advisorsQuote, Mentored: Leopold Kronecker, Infobox, doctoral advisor or academic advisors
Back in Berlin, Kronecker studied mathematics with Peter Gustav Lejeune Dirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision.
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