Siegel function

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• Siegel zero — In mathematics, more specifically in the field of analytic number theory, a Siegel zero, named after Carl Ludwig Siegel, is a type of potential counterexample to the generalized Riemann hypothesis, on the zeroes of Dirichlet L function. There are …   Wikipedia

• Siegel modular form — In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the… …   Wikipedia

• Siegel disc — In complex dynamics, one often analyse the behaviour of a set when it is iterated under a function, for example, let C be the unit circle in the complex plane, and let the function be f(z) = z(cos(sqrt{2}pi) + isin(sqrt{2}pi)). The effect is that …   Wikipedia

• Siegel–Walfisz theorem — In mathematics, the Siegel–Walfisz theorem was obtained by Arnold Walfisz [ Mathematische Zeitschrift , 40, pages 592 607, 1936] as an application of a theorem by Siegel to primes in arithmetic progressions.tatement of the Siegel–Walfisz… …   Wikipedia

• Siegel's lemma — In transcendental number theory and Diophantine approximation, Siegel s lemma refers to bounds on the solutions of linear equations obtained by the construction of auxiliary functions. The existence of these polynomials was proven by Axel Thue… …   Wikipedia

• Z function — In mathematics, the Z function is a function used for studying the Riemann zeta function along the critical line where the real part of the argument is one half. It is also called the Riemann Siegel Z function, the Riemann Siegel zeta function,… …   Wikipedia

• Auxiliary function — In mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions which appear in most proofs in this area of mathematics and that have specific, desirable properties, such as taking the value… …   Wikipedia

• E-function — In mathematics, E functions are a type of power series that satisfy particular systems of linear differential equations.DefinitionA function f ( x ) is called of type E , or an E function [Carl Ludwig Siegel, Transcendental Numbers , p.33,… …   Wikipedia

• Carl Ludwig Siegel — Infobox Scientist name = Carl Ludwig Siegel image width = 242 x 360 22k caption = Carl Ludwig Siegel birth date = birth date|1896|12|31 birth place = Berlin, Germany death date = death date and age|1981|4|4|1896|12|31 death place = Göttingen,… …   Wikipedia

• Formule de Riemann-Siegel — En mathématiques, et plus précisément en analyse, la formule de Riemann Siegel est une estimation asymptotique de l erreur de l équation fonctionnelle d approximation de la fonction zêta de Riemann, c est à dire une approximation de la fonction… …   Wikipédia en Français

• Fórmula de Riemann–Siegel — En matemática, la fórmula de Riemann–Siegel es una fórmula asintótica para el error que se comete en la ecuación funcional aproximada de la función zeta de Riemann, una aproximación de la función zeta mediante las suma de dos series de Dirichlet… …   Wikipedia Español