The Riemann hypothesis : a resource for the afficionado and virtuoso alike
著者
書誌事項
The Riemann hypothesis : a resource for the afficionado and virtuoso alike
(CMS books in mathematics, 27)
Springer, c2008
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注記
Cheifly in English; some articles in French
Other editor: Stephen Choi, Brendan Rooney, Andrea Weirathmueller
Includes bibliographical references (p. [483]-500) and index
内容説明・目次
内容説明
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.
目次
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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