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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.
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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.
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- PublisherCambridge University Press
- Publication date1990
- ISBN 10 052140245X
- ISBN 13 9780521402453
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages124
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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