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 ...
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 ...
Transactions of the American Mathematical Society, Vol. 356, No. 3 (Mar., 2004), pp. 881-893 (13 pages) We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted â„“ 2 ...