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

{{ #if: |{{{2}}}|G.H. Hardy}}{{#if: Marcel Riesz|{{#if: |, {{ #if: |{{{2}}}|Marcel Riesz}}{{#if: |, [[Mathematician:{{{author3}}}|{{ #if: |{{{2}}}|{{{author3}}}}}]]{{#if: |, [[Mathematician:{{{author4}}}|{{ #if: |{{{2}}}|{{{author4}}}}}]]{{#if: |, [[Mathematician:{{{author5}}}|{{ #if: |{{{2}}}|{{{author5}}}}}]] and [[Mathematician:{{{author6}}}|{{ #if: |{{{2}}}|{{{author6}}}}}]]| and [[Mathematician:{{{author5}}}|{{ #if: |{{{2}}}|{{{author5}}}}}]]}}| and [[Mathematician:{{{author4}}}|{{ #if: |{{{2}}}|{{{author4}}}}}]]}}| and [[Mathematician:{{{author3}}}|{{ #if: |{{{2}}}|{{{author3}}}}}]]}}| and {{ #if: |{{{2}}}|Marcel Riesz}}}}}}: {{#if: |[{{{link}}} The General Theory Of Dirichlet's Series]|The General Theory Of Dirichlet's Series}}{{#if: |, Volume {{{volume}}}}}{{#if: | ({{{ed}}} Edition)}}

{{#if: 1915 |Published {{#if: |${{{day}}}$ {{{month}}} ${{{year}}}$|{{#if: |{{{month}}} ${{{year}}}$|{{#if: |c. ${{{circa}}}$|$1915$}}}}}}{{#if: | {{{era}}}|}}{{#if: Cambridge University Press |, Cambridge University Press{{#if: |: ISBN }}}}{{#if: | (translated by [[Mathematician:{{{translated}}}|{{ #if: |{{{2}}}|{{{translated}}}}}]])}}.}}{{#if: |
Full title:

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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