JSTOR Daily

Dirichlet's Theorem for Polynomial Rings

We prove the following form of Dirichlet's theorem for polynomial rings in one indeterminate over a pseudo algebraically closed field F. For all relatively prime polynomials a(X), b(X) ∈ F[X] and for ...
JSTOR Daily

On Selberg’s Central Limit Theorem for Dirichlet L-functions

Dans cet article, nous présentons une nouvelle preuve du théorème central limite de Selberg pour les fonctions L de Dirichlet, basée sur une méthode de Radziwiłł et Soundararajan. De plus, nous ...
Purdue University

SDOF periodic response

In Example IV.2.1 we studied the Fourier series for a periodic square wave: Shown below is an animation showing the influence on the addtion of terms in the Fourier series to produce this periodic ...
Nature

Composition Operators and Dirichlet Series in Functional Analysis

Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...