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portada The Riemann Hypothesis in Characteristic p in Historical Perspective (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Year
2018
Language
English
Pages
248
Format
Paperback
ISBN13
9783319990668
Edition No.
2018

The Riemann Hypothesis in Characteristic p in Historical Perspective (Lecture Notes in Mathematics)

Peter Roquette (Author) · Springer · Paperback

The Riemann Hypothesis in Characteristic p in Historical Perspective (Lecture Notes in Mathematics) - Peter Roquette

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Synopsis "The Riemann Hypothesis in Characteristic p in Historical Perspective (Lecture Notes in Mathematics)"

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.

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