MYSTERIES OF THE REAL PRIME by Haran, M J Shai ISBN 0198508689

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[edit] MYSTERIES OF THE REAL PRIME

This volume introduces the author's work on the Riemann zeta function and its adelic interpretation of interest to a wide range of mathematicians and physicists.

In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author descibes his work on the Riemann zeta function and its adelic interpretation. It provides an original point of view, bringing new, highly useful dictionaries between different fields of mathematics. It develops an arithmetical approach to the continuum of real numbers and unifies many areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions (such as the Gamma, Beta, Zeta, theta, Bessel functions, the Askey-Wilson and the classical orthagonal polynomials) The text discusses real numbers from a p-adic point of view, first mooted by Araeklov. It includes original work on coherent theory, with implications for number theory and uses ideas from probability theory including Markov chains and noncommutative geometry which unifies the p-adic theory and the real theory by constructing a theory of quantum orthagonal polynomials.

[edit] Book Details

[edit] Title

MYSTERIES OF THE REAL PRIME

[edit] Author

Haran, M J Shai

[edit] ISBN

0198508689

[edit] Published

20/09/2001

[edit] Publisher

Oxford University Press

[edit] Binding

hardback

[edit] Retail Price

61 (GBP)

[edit] Typical Price Online

61 (GBP)

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ISBN 0198508689


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