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Hace 5 días · Ernst Kummer Peter Gustav Lejeune Dirichlet. Starting early in the nineteenth century, the following developments gradually took place: The rise to self-consciousness of number theory (or higher arithmetic) as a field of study.
Hace 3 días · Later, Peter Gustav Lejeune Dirichlet and Bernhard Riemann expressed Fourier's results with greater precision and formality.
Abstract. In this work, considering a mixed operator composed of the p -Laplacian and the Laplacian, we study a generalized spectral problem with Dirichlet conditions. First, we show the existence of a continuous family of eigenvalues and study some properties of the first eigenvalue and the associated eigenfunctions.
Hace 3 días · 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.
Hace 5 días · Recovering short generators via negative moments of Dirichlet. L. -functions. In 2016, Cramer, Ducas, Peikert and, Regev proposed an efficient algorithm for recovering short generators of principal ideals in q -th cyclotomic fields with q being a prime power.
Hace 2 días · This wiki is incomplete. Dirichlet's theorem is a theorem in number theory, which states that for any two coprime positive integers a a and d d, there exists an infinite amount of positive integers n n for which an + d an+d is a prime number.
Hace 5 días · The exterior Dirichlet problem asks for a solution outside the domain Ω subject the boundary conditions on ∂Ω. These two Dirichlet problems are also called first boundary value problem . A typical example of an elliptic partial differential equation is Laplace's equation ∇² u = 0, and its solutions deserve a special name.
