Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics) Book + PRICE WATCH * Amazon pricing is not included in price watch

Spectral Theory of the Riemann Zeta-Function (Cambridge Tracts in Mathematics) Book

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.Read More

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  • Product Description

    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.

  • 0521058074
  • 9780521058070
  • Yoichi Motohashi
  • 28 January 2008
  • Cambridge University Press
  • Paperback (Book)
  • 240
  • 1
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