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

## G.H. Hardy and Marcel Riesz: The General Theory Of Dirichlet's Series

Published $1915$, Cambridge University Press.

### Contents

I. INTRODUCTION
$I.1.(1)$
$I.1.(2)$
II. ELEMENTARY THEORY OF THE CONVERGENCE OF DIRICHLET'S SERIES
III. THE FORMULA FOR THE SUM OF THE COEFFICIENTS OF A DIRICHLET'S SERIES: THE ORDER OF THE FUNCTION REPRESENTED BY THE SERIES
IV. THE SUMMATION OF SERIES BY TYPICAL MEANS
V. GENERAL ARITHMETIC THEOREMS CONCERNING TYPICAL MEANS
VI. ABELIAN AND TAUBERIAN THEOREMS
VII. FURTHER DEVELOPMENTS OF THE THEORY OF FUNCTIONS REPRESENTED BY DIRICHLET'S SERIES
VIII. THE MULTIPLICATION OF DIRICHLET'S SERIES
BIBLIOGRAPHY