The General Theory of Dirichlet's SeriesPDF电子书下载

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Ⅰ．INTRODUCTION 1

Ⅱ．ELEMENTARY THEORY OF THE CONVERGENCE OF DIRICHLET＇S SERIES 3

Ⅲ．THE FORMULA FOR THE SUM OF THE COEFFICIENTS OF A DIRICHLET＇S SERIES：THE ORDER OF THE FUNCTION REPRESENTED BY THE SERIES 11

Ⅳ．THE SUMMATION of SERIES BY TYPICAL MEANS 19

Ⅴ．GENERAL ARITHMETIC THEOREMS CONCERNING TYPICAL MEANS 26

Ⅵ．ABELIAN AND TAUBERIAN THEOREMS 39

Ⅶ．FURTHER DEVELOPMENTS OF THE THEORY OF FUNCTIONS REPRESENTED BY DIRICHLET＇S SERIES 49

Ⅷ．THE MULTIPLICATION OF DIRICHLET＇S SERIES 61

BIBLIOGRAPHY 69

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