The Mysteries of the Real Prime

• Gives insight into the Riemann Hypothesis
• Includes original work on coherent theory, with implications for number theory
• Unites different areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions.

Readership: Academic and professional researchers and students of mathematics and physics

M.J. Shai Haran, Technicon-Israel Institute of Technology, Haifa, Israel

"The book has many interesting ideas ... the book develops a dictionary for moving between the p-adic and real worlds." - Zentralblatt Math

0: Introduction
1: The Real Prime
2: The Zeta function and Gamma distribution
3: The Beta distribution
4: The p-adic hyperbolic point of view
5: Some real hyberbolic chains
6: Ramanujan's Garden
7: The q-Gamma and q-Beta chains
8: The real Beta chains
9: Global "chains" and higher dimensions
10: The Fourier transform
11: The quantum group
12: The Heisenberg group
13: The Riemann Zeta function
14: References / Bibliography