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Some Applications of Modular Forms Sarnak Paperback Cambridge University Press - Picture 1 of 1
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Some Applications of Modular Forms Sarnak Paperback Cambridge University Press

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Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
BIC Subject Area 1
Algebra [PBF]
ISBN
9780521067706
Publication Name
Some Applications of Modular Forms
Publisher
Cambridge University Press
Subject
Mathematics
Publication Year
2008
Series
Cambridge Tracts in Mathematics
Type
Textbook
Format
Paperback
Language
English
Item Height
229 mm
Author
Peter Sarnak
Item Weight
190 g
Item Width
152 mm
Number of Pages
124 Pages

About this product

Product Information

The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics and computer science.

Product Identifiers

Publisher
Cambridge University Press
ISBN-13
9780521067706
eBay Product ID (ePID)
91977280

Product Key Features

Number of Pages
124 Pages
Language
English
Publication Name
Some Applications of Modular Forms
Publication Year
2008
Subject
Mathematics
Type
Textbook
Author
Peter Sarnak
Series
Cambridge Tracts in Mathematics
Format
Paperback

Dimensions

Item Height
229 mm
Item Weight
190 g
Item Width
152 mm

Additional Product Features

Country/Region of Manufacture
United Kingdom
Title_Author
Peter Sarnak

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