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}} | ||
| + | |||
===Online copies=== | ===Online copies=== | ||
[https://archive.org/details/generaltheoryofd029816mbp hosted by archive.org] | [https://archive.org/details/generaltheoryofd029816mbp hosted by archive.org] | ||
| − | [[Category: | + | ===Contents=== |
| + | :I. INTRODUCTION | ||
| + | ::[[General Dirichlet series|$I.1.(1)$]] | ||
| + | ::[[Dirichlet series|$I.1.(2)$]] | ||
| + | :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 | ||
| + | |||
| + | [[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
Contents
- I. INTRODUCTION
- 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
