The general theory of Dirichlet's series--Dirichlet级数的一般理论(英文原版进口)
基本信息
- 作者: G.H. Hardy and Marcel Riesz.
- 出版社:Dover Publications
- ISBN:0486446573
- 上架时间:2007-1-6
- 出版日期:2005 年1月
- 开本:22 cm.
- 页码:96
- 版次:1-1
- 所属分类:
数学 > 数学文化史
进口图书 > 原版数学
内容简介回到顶部↑
This classic work, written by two of the 20th century's most distinguished mathematicians, explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means. Topics include the elementary theory of the convergence of Dirichlet's series; the formula for the sum of the coefficients of a Dirichlet's series; the summation of series by typical means and general arithmetic theorems concerning typical means; Abelian and Tauberian theorems; and the multiplication of Dirichlet's series. 1915 ed.
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目录回到顶部↑
1. introduction
2. elementary theory of the convergence of dirichlet's series
3. the formula for the sum of the coefficients of a dirichlet's series: the order of the function represented by the series
4. the summation of series by typical means
5. general arithmetic theorems concerning typical means
6. abelian and tauberian theorems
7. further developments of the theory of functions represented by dirichlet's series
8. the multiplication of dirichlet's series
bibliography
2. elementary theory of the convergence of dirichlet's series
3. the formula for the sum of the coefficients of a dirichlet's series: the order of the function represented by the series
4. the summation of series by typical means
5. general arithmetic theorems concerning typical means
6. abelian and tauberian theorems
7. further developments of the theory of functions represented by dirichlet's series
8. the multiplication of dirichlet's series
bibliography









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