Difference between revisions of "Book:G.H. Hardy/The General Theory Of Dirichlet's Series"

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{{Book|The General Theory Of Dirichlet's Series|1915|Cambridge University Press||G.H. Hardy|author2=Marcel Riesz}}
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===Online copies===
 
===Online copies===
 
[https://archive.org/details/generaltheoryofd029816mbp hosted by archive.org]
 
[https://archive.org/details/generaltheoryofd029816mbp hosted by archive.org]
  
[[Category:Books]]
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===Contents===
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:I. INTRODUCTION
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::[[General Dirichlet series|$I.1.(1)$]]
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::[[Dirichlet series|$I.1.(2)$]]
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:II. ELEMENTARY THEORY OF THE CONVERGENCE OF DIRICHLET'S SERIES
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:III. THE FORMULA FOR THE SUM OF THE COEFFICIENTS OF A DIRICHLET'S SERIES: THE ORDER OF THE FUNCTION REPRESENTED BY THE SERIES
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:IV. THE SUMMATION OF SERIES BY TYPICAL MEANS
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:V. GENERAL ARITHMETIC THEOREMS CONCERNING TYPICAL MEANS
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:VI. ABELIAN AND TAUBERIAN THEOREMS
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:VII. FURTHER DEVELOPMENTS OF THE THEORY OF FUNCTIONS REPRESENTED BY DIRICHLET'S SERIES
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:VIII. THE MULTIPLICATION OF DIRICHLET'S SERIES
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:BIBLIOGRAPHY
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[[Category:Book]]

Latest revision as of 23:27, 17 March 2017

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

Published $1915$, Cambridge University Press.


Online copies

hosted by archive.org

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