Download EBOOK Some Applications of Modular Forms PDF for free


Download EBOOK Some Applications of Modular Forms PDF for free Category: Science & Geography
The author of the book: Peter Sarnak
Format files: PDF, EPUB, TXT, DOCX
The size of the: 8.43 MB
Language: English
ISBN-13: 9780521402453
Edition: CAMBRIDGE UNIVERSITY PRESS
Date of issue: 4 March 2004

Description of the book "Some Applications of Modular Forms":

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. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the PDF Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics and computer science.

Download EBOOK Some Applications of Modular Forms PDF for free


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Peter Sarnak

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Download EBOOK Some Applications of Modular Forms PDF for free



Download EBOOK Some Applications of Modular Forms for free

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