This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics. The appendices include a selection of original papers that encompass the most important milestones in the evolution of theory connected to the Riemann Hypothesis. The appendices also include some authoritative expository papers. These are the expert witnesses whose insight into this field is both invaluable and irreplaceable.
This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics.to the Riemann Hypothesis.- Why This Book.- Analytic Preliminaries.- Algorithms for Calculating ?(s).- Empirical Evidence.- Equivalent Statements.- Extensions of the Riemann Hypothesis.- Assuming the Riemann Hypothesis and Its Extensions &.- Failed Attempts at Proof.- Formulas.- Timeline.- Original Papers.- Expert Witnesses.- The Experts Speak for Themselves.
From the reviews:
The Reimann Hypothesis presents itself as fundamentally a collection of well-known papers related to the Reimann Hypothesis, with a long introduction to set the stage. & This may be a useful resource for small libraries & and for those who might like to have copies of the papers in their personal library. (Fernando Q. Gouv?a, MathDL, January, 2008)
This book is intended as a reference work on the Riemann Hypothesis (RH). & will undoubtedly be extremely useful for anyone making a serious study of the zeta-function, and especially those with an interest in the historical development of thl£M