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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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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Cambridge University Press, 1990
ISBN 10: 052140245X
ISBN 13: 9780521402453
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Some applications of modular forms Peter Sarnak. Cambridge tracts in mathematics 99; Cambridge tracts in mathematics and mathematical physics 99.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 SAR 9780521402453 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2508261
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Cambridge University Press, Cambridge, England, 1990
ISBN 10: 052140245X
ISBN 13: 9780521402453
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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ISBN 13: 9780521402453
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99)
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99)
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Cambridge University Press, 1990
ISBN 10: 052140245X
ISBN 13: 9780521402453
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Some Applications of Modular Forms (Hardcover)
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ISBN 10: 052140245X
ISBN 13: 9780521402453
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Hardcover. Condition: new. Hardcover. 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. 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 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521402453
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics, Series Number 99)
Published by
Cambridge University Press, 1990
ISBN 10: 052140245X
ISBN 13: 9780521402453
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Some Applications of Modular Forms (Cambridge Tracts in Mathematics)
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Some Applications of Modular Forms (Hardcover)
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Cambridge University Press, Cambridge, 2004
ISBN 10: 052140245X
ISBN 13: 9780521402453
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Hardcover. Condition: new. Hardcover. 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. 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 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521402453
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