Peter Gustav Lejeune Dirichlet

Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician known for his work in number theory and analysis.

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Peter Gustav Lejeune Dirichlet (1805 to 1859) was a German mathematician who taught for many years at the University of Berlin and later succeeded Carl Friedrich Gauss at the University of Göttingen.

He proved Dirichlet's theorem that every arithmetic progression with coprime first term and difference contains infinitely many primes, and the Dirichlet L-functions he introduced for that proof became a basic tool of analytic number theory. He also contributed to the convergence of Fourier series and to the modern concept of a function.

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The model established a fixed boundary at 0.875 that holds everywhere for the zeta function and for all Dirichlet L-functions.


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