The General Theory of Dirichlet's Series
(eBook)

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Published
Dover Publications, 2013.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486155173

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Citations

APA Citation, 7th Edition (style guide)

G. H. Hardy., G. H. Hardy|AUTHOR., & Marcel Riesz|AUTHOR. (2013). The General Theory of Dirichlet's Series . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

G. H. Hardy, G. H. Hardy|AUTHOR and Marcel Riesz|AUTHOR. 2013. The General Theory of Dirichlet's Series. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

G. H. Hardy, G. H. Hardy|AUTHOR and Marcel Riesz|AUTHOR. The General Theory of Dirichlet's Series Dover Publications, 2013.

MLA Citation, 9th Edition (style guide)

G. H. Hardy, G. H. Hardy|AUTHOR, and Marcel Riesz|AUTHOR. The General Theory of Dirichlet's Series Dover Publications, 2013.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouping Information

Grouped Work ID8d691b8f-4c47-c24a-a1de-b8838e2760e6-eng
Full titlegeneral theory of dirichlets series
Authorhardy g h
Grouping Categorybook
Last Update2024-05-15 02:01:00AM
Last Indexed2024-05-18 04:12:54AM

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    [synopsis] => This classic work 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. Its authors rank among the most distinguished mathematicians of the twentieth century: G. H. Hardy is famous for his achievements in number theory and mathematical analysis, and Marcel Riesz's interests ranged from functional analysis to partial differential equations, mathematical physics, number theory, and algebra. Following an introduction, the authors proceed to a discussion of the elementary theory of the convergence of Dirichlet's series, followed by a look at the formula for the sum of the coefficients of a Dirichlet's series in terms of the order of the function represented by the series. They continue with an examination of the summation of series by typical means and of general arithmetic theorems concerning typical means. After a survey of Abelian and Tauberian theorems and of further developments of the theory of functions represented by Dirichlet's series, the text concludes with an exploration of the multiplication of Dirichlet's series.
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