Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99) - Hardcover

Sarnak, Peter

 
9780521402453: Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99)
Hardcover
ISBN 10: 052140245X ISBN 13: 9780521402453
Publisher: Cambridge University Press, 1990

Synopsis

The theory of modular forms and especially the so-called Ramanujan Conjectures have recently been applied to resolve problems in combinatorics, computer science, analysis, and number theory. Professor Sarnak begins by developing the necessary background material in modular forms. He then considers in detail the solution of three problems: the Rusiewisz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs, e.g. 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.

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Book Description

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.

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Publisher
Cambridge University Press
Publication date
1990
Language
English
ISBN 10 
052140245X
ISBN 13 
9780521402453
Binding
Hardcover
Edition number
1
Number of pages
124

Other Popular Editions of the Same Title

9780521067706: Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99) (Volume 0)

Featured Edition

ISBN 10:  0521067707 ISBN 13:  9780521067706
Publisher: Cambridge University Press, 2008
Softcover