Andrey Feuerverger, University of Toronto, Canada. Greg Martin, University of British Columbia, Vancouver, Canada

• The prime numbers; Interlude on arithmetic functions; The heuristic of Harald Cramer; The zeta function; Statistics of the zeros; Statistics of the critical line; Million dollar questions; Frontiers of chance and chaos; The zeta distributions; Random multiplicative functions; Further topics; Appendix A. Analytic functions; Appendix B. The Gamma and related functions; Appendix C. Dirichlet series; Appendix D. The statistical limit laws; Appendix E. Approximations for sums and products in powers of $n,p$, log $n$, and log $p$; Appendix F. Some mathematical points; Acknowledgments; Bibliography; Index

Andrey Feuerverger, University of Toronto, Canada. Greg Martin, University of British Columbia, Vancouver, Canada

• The prime numbers; Interlude on arithmetic functions; The heuristic of Harald Cramer; The zeta function; Statistics of the zeros; Statistics of the critical line; Million dollar questions; Frontiers of chance and chaos; The zeta distributions; Random multiplicative functions; Further topics; Appendix A. Analytic functions; Appendix B. The Gamma and related functions; Appendix C. Dirichlet series; Appendix D. The statistical limit laws; Appendix E. Approximations for sums and products in powers of $n,p$, log $n$, and log $p$; Appendix F. Some mathematical points; Acknowledgments; Bibliography; Index