The Riemann Hypothesis in Characteristic p in Historical Perspective
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 amon...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | History of Mathematics Subseries
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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