Some applications of modular forms Peter Sarnak. Cambridge tracts in mathematics 99; Cambridge tracts in mathematics and mathematical physics 99.

Sarnak, Peter:

ISBN 10: 052140245X / ISBN 13: 9780521402453

Published by Cambridge, Cambridge University Press, 1990

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 SAR 9780521402453 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2508261

Bibliographic Details

• Title: Some applications of modular forms Peter Sarnak. Cambridge tracts in mathematics 99; Cambridge tracts in mathematics and mathematical physics 99.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 1990
• Language: English
• ISBN 10: 052140245X
• ISBN 13: 9780521402453
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

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.