# Book:G.H. Hardy/The General Theory of Dirichlet's Series

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## G.H. Hardy and Marcel Riesz:

## G.H. Hardy and Marcel Riesz: *Introduction to Analytic Number Theory*

Published $1915$, **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