A discrete limit theorem for the periodic Hurwitz zeta-function

A Discrete Limit Theorem on the Complex Plane for the Hurwitz Zeta–function with an Algebraic Irrational Parameter

In honour of Professor Imre Kátai on the occasion of his 70th birthday

Limit Theorem with Weight for Lerch Zeta Function

The Neutrix Limit of the Hurwitz Zeta Function and Its Application

In this paper, the neutrix limit is used to extend the definition of the Hurwitz zeta function ζ(α, x) and its partial derivatives to the whole complex plane except for non-positive integers α, in particular, the values of ζ(1, x) is obtained. This definition is equivalent to the Hermite’s integral of ζ(α, x) as α 6= 1, 0,−1, . . .. Moreover, some properties of ζ(1, x) are established and we fi...

The Local Limit Theorem: A Historical Perspective

The local limit theorem describes how the density of a sum of random variables follows the normal curve. However the local limit theorem is often seen as a curiosity of no particular importance when compared with the central limit theorem. Nevertheless the local limit theorem came first and is in fact associated with the foundation of probability theory by Blaise Pascal and Pierre de Fer...

Limit theorems for the Matsumoto zeta-function

© Université Bordeaux 1, 1996, tous droits réservés. L’accès aux archives de la revue « Journal de Théorie des Nombres de Bordeaux » (http://jtnb.cedram.org/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier do...