Book ID: CBB919486061

The Riemann Hypothesis in Characteristic p in Historical Perspective (2018)

unapi

Roquette, Peter (Author)


Springer


Publication Date: 2018
Physical Details: 244
Language: English

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.

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Reviewed By

Review Arkady Plotnitsky (2020) Review of "The Riemann Hypothesis in Characteristic p in Historical Perspective". Isis: International Review Devoted to the History of Science and Its Cultural Influences (pp. 411-412). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB919486061/

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Authors & Contributors
Schwermer, Joachim
Fenster, Della Dumbaugh
Artin, Emil
Benis-Sinaceur, Hourya
Segal, S. L.
Roquette, Peter
Journals
Archive for History of Exact Sciences
Historia Mathematica
Mathematische Semesterberichte
Bollettino di Storia delle Scienze Matematiche
Publishers
American Mathematical Society
Birkhäuser
Univ.-Verl.
Free Scholars Press
Springer
European Mathematical Society
Concepts
Mathematics
Algebra
Number theory; number concept
Collected correspondence
Biographies
Arithmetic
People
Artin, Emil
Hasse, Helmut
Hilbert, David
Albert, Adrian
Schreier, Otto
Robinson, Abraham
Time Periods
20th century, early
20th century
19th century
Places
France
Central Europe: Germany, Austria, Switzerland
Germany
United States
Iceland
Italy
Institutions
University of Chicago
University of Wisconsin
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