The Riemann Hypothesis in Characteristic p in Historical Perspective

• Κύριος συγγραφέας: Roquette, Peter (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: History of Mathematics Subseries, 2222
• Θέματα: Mathematics.; History.; Number theory.; History of Mathematical Sciences.; Number Theory.
• Φυσική περιγραφή: IX, 235 p. 15 illus. online resource.
• ISBN: 9783319990675
• ISSN: 2193-1771 ;
• DOI: 10.1007/978-3-319-99067-5

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.