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

Sarnak, Peter

ISBN 10: 0521067707 / ISBN 13: 9780521067706

Published by Cambridge University Press, 2008

About this Item

An account of unexpected applications of number theory to practical questions that arise in mathematics and computer science. Series: Cambridge Tracts in Mathematics. Num Pages: 124 pages, 7 b/w illus. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 155 x 230 x 9. Weight in Grams: 204. . 2008. 1st Edition. paperback. . . . .

Seller Inventory # V9780521067706

Bibliographic Details

• Title: Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99)
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0521067707
• ISBN 13: 9780521067706
• Binding: Soft cover
• Edition: 1st Edition
• Condition: New

About this title

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.

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.