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The Riemann hypothesis in characteristic p in historical perspective

Author: Peter Roquette
Publisher: Cham, Switzerland : Springer, [2018] ©2018
Series: Lecture notes in mathematics (Springer-Verlag), 2222.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Online version:
Roquette, Peter, 1927-
Riemann hypothesis in characteristic p in historical perspective.
Cham : Springer, 2018
(OCoLC)1055460381
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Roquette
ISBN: 3319990667 9783319990668
OCLC Number: 1044833382
Description: ix, 233 pages : illustrations, portraits ; 24 cm.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2222.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Responsibility: Peter Roquette.

Abstract:

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  Read more...

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