The scientific inheritance of Emil Artin (Q2764588)

In the spring of 1999, Michael Artin gave the manuscripts his father Emil Artin has left to the University of Hamburg. The content of these notes are carefully listed and described in this article. They range from Artin's solution (during his highschool years) of all the problems in Nielsen's complex analysis [Elemente der Funktionentheorie (1911; JFM 42.0412.01)] to some comments on valuation theory scribbled on the back of an invitation to a faculty meeting one month before his death in December 1962. NEWLINENEWLINENEWLINEAmong these manuscripts there are lecture notes (algebraic number theory, algebraic curves, differential geometry, special relativity, elliptic functions, algebra, or notes on what looks like the first chapters on cohomology that did not make it into Artin's and Tate's book [Class field theory (1968; Zbl 0176.33504)]), early versions of published articles, 29 pages of additions and comments on Theorems 3-62 of Hilbert's Zahlbericht, calculations e.g. of class numbers or verifications of the Riemann conjecture for specific curves, and a few letters. NEWLINENEWLINENEWLINEThe reviewer strongly supports the author's hope that this article is just the beginning of a more thorough investigation of Artin's Nachlass; in the best of all worlds, scans of these manuscripts would be made available online [compare the project on Langlands' collected works at NEWLINENEWLINENEWLINE\url{http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html}].