Synopsis
An account of unexpected applications of number theory to practical questions that arise in mathematics and computer science.
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Review
Review of the hardback: '... fascinating book ...' Monatshefte für Mathematik
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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Some Applications of Modular Forms
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Cambridge University Press, 2008
ISBN 10: 0521067707
ISBN 13: 9780521067706
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Some Applications of Modular Forms
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Cambridge University Press, 2008
ISBN 10: 0521067707
ISBN 13: 9780521067706
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Some Applications of Modular Forms
Published by
Cambridge University Press, 2008
ISBN 10: 0521067707
ISBN 13: 9780521067706
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Some Applications of Modular Forms (Paperback)
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Cambridge University Press, Cambridge, 2008
ISBN 10: 0521067707
ISBN 13: 9780521067706
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Paperback. Condition: new. Paperback. 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521067706
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Some Applications Of Modular Forms
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99) (Volume 0)
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Some Applications of Modular Forms
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Some Applications of Modular Forms
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Some Applications of Modular Forms
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Cambridge University Press, 2008
ISBN 10: 0521067707
ISBN 13: 9780521067706
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