The General Theory of Dirichlet's Series

Erscheinungsjahr 2014
ISBN: 978-1-107-49387-2
Verlag: Cambridge University Press

Buch, Englisch, 88 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 123 g

Reihe: Cambridge Tracts in Mathematics

Originally published in 1915 as number eighteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, and here reissued in its 1952 reprinted form, this book contains a condensed account of Dirichlet's Series, which relates to number theory. This tract will be of value to anyone with an interest in the history of mathematics or in the work of G. H. Hardy.

Autoren/Hrsg.

Hardy, G. H.

Riesz, Marcel

Fachgebiete

• Technische Wissenschaften Technik Allgemein Technikgeschichte

Inhaltsverzeichnis

1. Introduction; 2. Elementary theory of the convergence of Dirichlet's series; 3. The formula for the sum of the coefficients of a Dirichlet's series: the order of the function represented by the series; 4. The summation of series by typical means; 5. General arithmetic theorems concerning typical means; 6. Abelian and Tauberian theorems; 7. Further developments of the theory of functions represented by Dirichlet's series; 8. The multiplication of Dirichlet's series; Bibliography.