The Mysteries of the Real Prime
In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author describes 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.
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No preview available - 2000
The real prime
The beta distribution
The padic hyperbolic point of view
Some real hyperbolic chains
The fgamma and Qbeta chains
nd higher dimensions
em series connections
ein series and the intertwining operator
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The Mysteries of the Real Prime. mj Shai Haran, Technicon-Israel Instituteof. Technology, Haifa, Israel. ‘The book has many interesting ideas ... the book ...
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Book "The Mysteries of the Real Prime" 8. Book on Quantum Calculus 9. Preprints in xxx Archive 10. About the Activity Group 11. ...
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The mysteries of the real prime. Auteur(s) : SHAI HARAN mj Date de parution: 09-2001 Langue : ANGLAIS 254p. 23x15 Hardback Etat : Disponible chez l'éditeur ...
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3) mj Shai Haran, The Mysteries of the Real Prime, Oxford U. Press, Oxford, 2001. ... which you will see is deeply connected to mathematical physics. ...
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