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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127) - Softcover
Synopsis
This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary treatment of spectral resolution. The story starts with a basic but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. The author achieves this by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory. These ideas are then utilized to unveil a new image of the zeta-function, revealing it as the main gem of a necklace composed of all automorphic L-functions. In this book readers will find a detailed account of one of the most fascinating stories in the recent development of number theory. Mathematics specialists and researchers will find this a fascinating work.
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Book Description
In this book Professor Motohashi shows that function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. It will be fascinating reading for all mathematicians working in analytic number theory or the theory of automorphic forms.
About the Author
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521058074
- ISBN 13 9780521058070
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages240
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
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Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
Used
Softcover
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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Softcover
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
Used
Softcover
Seller: Book Deals, Tucson, AZ, U.S.A.
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Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics, Series Number 127)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
New
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Spectral Theory of the Riemann Zeta-Function (Paperback)
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Cambridge University Press, Cambridge, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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Paperback. Condition: new. Paperback. The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilized to unveil an image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the development of number theory, namely the fusion of two main fields in mathematics that were previously studied separately. Professor Motohashi shows that the Riemann zeta function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the function itself. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521058070
Quantity: 1 available
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Spectral Theory of the Riemann Zeta-Function
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Paperback. Condition: Brand New. 1st edition. 238 pages. 8.82x5.98x0.94 inches. In Stock. This item is printed on demand. Seller Inventory # __0521058074
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Spectral Thry Riemann Zeta-Function (Cambridge Tracts in Mathematics)
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Cambridge University Press 2008-08-21, 2008
ISBN 10: 0521058074
ISBN 13: 9780521058070
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