Some Applications of Modular Forms (Paperback)

Peter Sarnak

ISBN 10: 0521067707 / ISBN 13: 9780521067706

Editore: Cambridge University Press, Cambridge, 2008

Riguardo questo articolo

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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9780521067706

Dati bibliografici

• 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

Descrizione articolo

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 für Mathematik