Difference between revisions of "Book:G.H. Hardy/The General Theory Of Dirichlet's Series"
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===Contents=== | ===Contents=== | ||
:I. INTRODUCTION | :I. INTRODUCTION | ||
| + | ::[[General Dirichlet series|$I.1.(1)$]] | ||
| + | ::[[Dirichlet series|$I.1.(2)$]] | ||
:II. ELEMENTARY THEORY OF THE CONVERGENCE OF DIRICHLET'S SERIES | :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 | :III. THE FORMULA FOR THE SUM OF THE COEFFICIENTS OF A DIRICHLET'S SERIES: THE ORDER OF THE FUNCTION REPRESENTED BY THE SERIES | ||
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
