Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Titolo

Some Applications of Modular Forms (Paperback)

Editore

Cambridge University Press, Cambridge

Data di pubblicazione

2008

Lingua

Inglese

ISBN 10

0521067707

ISBN 13

9780521067706

Rilegatura

Paperback

Edizione

prima edizione

Condizione

new

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Riassunto

An account of unexpected applications of number theory to practical questions that arise in mathematics and computer science.

Recensione

Review of the hardback: '... fascinating book ...' Monatshefte f�r Mathematik

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