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.
General
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