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**Title**: The General Theory of Dirichlet’s Series**Author**: G. H. Hardy**Category**: Mathematics**Date**: January 2013**Lenguage**: English**Pages**: unknown**ISBN**: 9780486155173

**Ebook description:
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This basic work explains the speculation and formulation behind Dirichlet’s sequence and gives the primary systematic account of Riesz’s principle of the summation of sequence by typical means. Its authors rank among the many most distinguished mathematicians of the 20th century: G. H. Hardy is known for his achievements in quantity principle and mathematical evaluation, and Marcel Riesz’s pursuits ranged from purposeful evaluation to partial differential equations, mathematical physics, quantity principle, and algebra. Following an introduction, the authors proceed to a dialogue of the elementary principle of the convergence of Dirichlet’s sequence, adopted by a have a look at the method for the sum of the coefficients of a Dirichlet’s sequence in phrases of the order of the operate represented by the sequence. They proceed with an examination of the summation of sequence by typical means and of basic arithmetic theorems regarding typical means. After a survey of Abelian and Tauberian theorems and of additional developments of the speculation of capabilities represented by Dirichlet’s sequence, the textual content concludes with an exploration of the multiplication of Dirichlet’s sequence

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