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 ...
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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.
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Add this copy of Some Applications of Modular Forms (Cambridge Tracts in to cart. $63.66, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1990 by Cambridge University Press.
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Very Good in Good jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book Small plain label inside cover. Quarter inch closed tear to top edge front d/j., slight rubbing to d/j edges. Letter J stamped on title page.
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Very Good in Very Good jacket. Book Some edge wear to boards and dust jacket; a bit of fading to colour on the spine; previous owners name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition.
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