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The Riemann Hypothesis in Characteristic p in Historical Perspective

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Riemann Hypothesis in Characteristic p in Historical Perspective/ by Peter Roquette.
Author:	Roquette, Peter.
Description:	IX, 235 p. 15 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-319-99067-5
ISBN:	9783319990675

The Riemann Hypothesis in Characteristic p in Historical Perspective
Roquette, Peter.

The Riemann Hypothesis in Characteristic p in Historical Perspective[electronic resource] /by Peter Roquette. - 1st ed. 2018. - IX, 235 p. 15 illus.online resource. - History of Mathematics Subseries,22222193-1771 ;. - History of Mathematics Subseries,2162.

- 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.

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 Göttingen. 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.

ISBN: 9783319990675

Standard No.: 10.1007/978-3-319-99067-5doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA21-27

Dewey Class. No.: 510.9

The Riemann Hypothesis in Characteristic p in Historical Perspective
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