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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sea, Dirac Prize, Fermi–Dirac statistics Johann Dirichlet, German mathematician – Dirichlet function, Dirichlet's theorem on arithmetic progressions Walt...
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Analytic number theory (section Dirichlet)
begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions...
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with Peter Gustav Lejeune Dirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision. After obtaining...
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studied mathematics under Peter Gustav Lejeune Dirichlet, while also attending classes of Jakob Steiner and Johann Franz Encke. In 1842 he was awarded a PhD...
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considers that "In essence this is the definition that became known as Dirichlet's definition." Edwards also credits Euler with a general concept of a function...
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Series (mathematics) (section Dirichlet series)
Like the zeta function, Dirichlet series in general play an important role in analytic number theory. Generally a Dirichlet series converges if the real...
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known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula. William Kingdon...
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algebraic invariants Carl Neumann (1832–1925), mathematician, worked on the Dirichlet principle Rudolf Lipschitz (1832–1903), mathematician, named the Lipschitz...
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considering partial sums, which Dirichlet transformed into a particular Dirichlet integral involving what is now called the Dirichlet kernel. This paper introduced...
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