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1 de may. de 2024 · Peter Gustav Lejeune Dirichlet was a German mathematician who made valuable contributions to number theory, analysis, and mechanics. He taught at the universities of Breslau (1827) and Berlin (1828–55) and in 1855 succeeded Carl Friedrich Gauss at the University of Göttingen.
- The Editors of Encyclopaedia Britannica
Hace 3 días · In 1838 Peter Gustav Lejeune Dirichlet came up with his own approximating function, the logarithmic integral li(x) (under the slightly different form of a series, which he communicated to Gauss).
Hace 3 días · The first of these regularities stems from Peter Gustav Lejeune Dirichlet's work (in the 1830s) on the analytic formula for the class number of binary quadratic forms. Let q be a prime number, s a complex variable, and define a Dirichlet L-function as
Hace 1 día · Peter Gustav Lejeune Dirichlet (1837) Pioneering paper in analytic number theory, which introduced Dirichlet characters and their L-functions to establish Dirichlet's theorem on arithmetic progressions. In subsequent publications, Dirichlet used these tools to determine, among other things, the class number for quadratic forms.
6 de may. de 2024 · The first sufficient conditions for the pointwise convergence of the Fourier series were discovered by a German mathematician Johann Peter Gustav Lejeune Dirichlet (1805--1859). A function that satisfies the Dirichlet conditions is also called piecewise monotone.
28 de abr. de 2024 · Johann Peter Gustav Lejeune Dirichlet: A Trailblazer in 19th-Century Mathematics
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- Math Mystique
30 de abr. de 2024 · The Dirichlet Divisor Problem, named after the German mathematician Peter Gustav Lejeune Dirichlet, is a classical problem in number theory. It concerns the distribution of the number of divisors of positive integers, which plays a crucial role in various areas of mathematics, including analytic number theory and algebraic geometry.
