The Riemann Hypothesis

The Riemann Hypothesis
A Resource for the Afficionado and Virtuoso Alike
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Artikel-Nr:
9781441924650
Veröffentl:
2010
Einband:
Paperback
Erscheinungsdatum:
23.11.2010
Seiten:
548
Autor:
Peter Borwein
Gewicht:
820 g
Format:
235x155x29 mm
Serie:
CMS Books in Mathematics
Sprache:
Englisch
Beschreibung:

Collecting papers never before published in book form, this volume presents an analysis of the Riemann Hypothesis as well as connected problems. It also supplies a generous helping of the body of theory developed towards the problem s solution. In addition, the work contains recent advances and results in number theory. Almost all the material here 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. 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.

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