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The Riemann Hypothesis in Characteristic p in Historical Perspective
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Catalogue Information
Field name
Details
Dewey Class
512.73
Title
The Riemann Hypothesis in Characteristic p in Historical Perspective ([Ebook]) / Peter Roquette
Author
Roquette, Peter , 1927-
Publication
Cham : Springer , 2018
Physical Details
1 Online-Ressource (ix, 233 pages) : ill.
Series
Lecture Notes in Mathematics
; 2222
ISBN
9783319990675
Summary Note
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.:
Mode of acces to digital resource
Digital book. Cham Springer International Publishing 2018. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site
https://doi.org/10.1007/978-3-319-99067-5
Links to Related Works
Subject References:
Algebraic fields
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History of Mathematical Sciences
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Mathematics
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Mathematics - History
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Number Theory
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Authors:
Roquette, Peter 1927-
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Series:
Lecture Notes in Mathematics
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Classification:
512.73
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