Duality in Analytic Number Theory

Language: English

Published by Cambridge University Press, GB, 2008

0521058082 / 9780521058087

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In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to formulate theorems as well as how to construct their proofs. Elementary notions from functional analysis, Fourier analysis, functional equations and stability in mechanics are controlled by a geometric view and synthesized to provide an arithmetical analogue of classical harmonic analysis that is powerful enough to establish arithmetic propositions until now beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, structured in chains about individual topics. …

Seller Inventory # LU-9780521058087

Title
Duality in Analytic Number Theory
Author
Peter D. T. A. Elliott
Publisher
Cambridge University Press, GB
Publication year
2008
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521058082
ISBN 13
9780521058087
Item weight
581 grams

Rarewaves.com UK

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