The Riemann hypothesis in characteristic ρ in historical perspective
Author(s)
Bibliographic Information
The Riemann hypothesis in characteristic ρ in historical perspective
（Lecture notes in mathematics, 2222 . History of mathematics subseries）
Springer, c2018
Available at / 36 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2222200038745123
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Note
Includes bibliographical references (p. 221-229) and index
Description and Table of Contents
Description
This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Goettingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
Table of Contents
- Overture.- Setting the stage.- The Beginning: Artin's Thesis.- Building the Foundations.- Enter Hasse. - Diophantine Congruences. - Elliptic Function Fields. - More on Elliptic Fields. - Towards Higher Genus. - A Virtual Proof. - Intermission. - A.Weil. - Appendix. - References. - Index.
by "Nielsen BookData"
