Book:G.H. Hardy/The General Theory of Dirichlet's Series
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G.H. Hardy and Marcel Riesz: Introduction to Analytic Number Theory
Published $\text {1915}$, Cambridge University Press
Subject Matter
Contents
- Preface (G.H.H. 19 May 1915.)
- $\text{I}$. Introduction
- $\text{II}$. Elementary theory of the convergence of dirichlet's series
- $\text{III}$. The formula for the sum of the coefficients of a dirichlet's series: the order of the function represented by the series
- $\text{IV}$. The summation of the series by typical means
- $\text{V}$. General arithmetic theorems concerning typical means
- $\text{VI}$. Abelian and tauberian theorems
- $\text{VII}$. Further developments in the series of functions represented by dirichlet's series
- $\text{VIII}$. The multiplication of dirichlet's series
- Bibliography