Explore: Séries De Dirichlet

In mathematics, the Dirichlet–Jordan test gives sufficient conditions for a complex-valued, periodic function f {\displaystyle f} to be equal to the sum

transformées de Fourier. Applications. Mathematical Society of Japan. Mandelbrojt, Szolem (1972) [1969]. Dirichlet series. Principles and methods [Séries de Dirichlet

Wissenchaften (in German): 49–66 – via Gallica. Lejeune Dirichlet (1829). "Sur la convergence des séries trigonométriques qui servent à représenter une fonction

In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there

13: Article 10.7.4. Apostol, T. M. (1997), "Modular Functions and Dirichlet Series in Number Theory", New York: Springer-Verlag 2nd Ed. Ashworth, M. H

χ(-1) = 1, and odd if χ(-1) = -1. Grönwall, T. H. (1913). "Sur les séries de Dirichlet correspondant à des charactères complexes". Rendiconti di Palermo

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

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

Bell series, and Dirichlet series. Every sequence in principle has a generating function of each type (except that Lambert and Dirichlet series require

des séries trigonométriques de Fourier, C. R. Acad. Sci. Paris 156 (1913), 1655–1658. S. V. Konyagin, "On divergence of trigonometric Fourier series everywhere"