The Riemann Hypothesis

A Resource for the Afficionado and Virtuoso Alike
2008
ISBN: 978-0-387-72125-5
Verlag: Springer

Buch, Englisch, 533 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 2070 g

Reihe: CMS Books in Mathematics

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Borwein, Peter

Weirathmueller, Andrea

Choi, Stephen

Rooney, Brendan

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.