Some Applications of Modular Forms is popular PDF and ePub book, written by Peter Sarnak in 1990-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Some Applications of Modular Forms can be Read Online from any device for your convenience.
Some Applications of Modular Forms Book PDF Summary
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 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.
Detail Book of Some Applications of Modular Forms PDF
- Author : Peter Sarnak
- Release : 15 November 1990
- Publisher : Cambridge University Press
- ISBN : 9781316582442
- Genre : Mathematics
- Total Page : 124 pages
- Language : English
- PDF File Size : 18,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Some Applications of Modular Forms by Peter Sarnak, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.