Knowledge (XXG)

Nikolaus Hofreiter

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178:). In 1928 he passed the Lehramtsprüfung examination and completed the probationary year as a teacher in Vienna, but then returned to the university (first as a scientific assistant at the TU Vienna) where in 1929 he was assistant to Furtwängler and then habilitated in 1933. He was even then an excellent teacher, and gave lectures not only in Vienna but also in 201:
had solved it for three variables) on the product of inhomogeneous linear forms and achieved significant progress. The complete solution was only found 15 years later (and the general case is still unresolved). In 1934, he proved the existence of infinitely many real quadratic number fields without a
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In 1939, he was an associate professor and married the mathematician Margarete Dostalík (1912-2013). She was also a student of Furtwängler and did important work on algebraic equations and was working as a meteorologist in
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appeared. Both parts were widely available through to the 5th 1973/75 edition. His wife, Margaret, assisted with the calculations, as well as the preparation and review of both volumes.
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had worked on previously. Hofreiter treated the case of four variables of a problem of Minkowski (Minkowski had solved the problem for two variables, while
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at the time. During the Second World War, he moved from Vienna and was a little later at the Hermann Goering Aviation Research Institute in
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In addition to their work at the Aviation Research Institute, Gröbner and Hofreiter continued to give lectures and seminars at the
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were already working. Through his work there, together with Gröbner, he started a table of integrals. The first volume, on
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His dissertation and habilitation thesis dealt with the reduction theory of quadratic forms, which
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Grand Decoration of Honour in Silver for Services to the Republic of Austria
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Recipients of the Grand Decoration for Services to the Republic of Austria
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Recipients of the Austrian Cross of Honour for Science and Art, 1st class
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in 1965, the Gold Medal of Honour of the City of Vienna, the
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Eine neue Reduktionstheorie fĂĽr definite quadratische Formen
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Academic staff of the Technical University of Braunschweig
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Hofreiter went to school in Linz and studied from 1923 in
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Almanach der Ă–sterreichischen Akademie der Wissenschaften
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In 1970, Hofreiter became a corresponding member of the
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Austrian Cross of Honour for Science and Art, 1st class
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Knights Commander of the Order of St Gregory the Great
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Index

Linz
Upper Austria
Austria-Hungary
Mathematics
Doctoral advisor
Philipp Furtwängler
Peter M. Gruber
Edmund Hlawka
Wilfried Imrich
Leopold Schmetterer
number theory
Vienna
Hans Hahn
Wilhelm Wirtinger
Technische Universität Wien
Philipp Furtwängler
quadratic forms
Graz
Gauss
Charles Hermite
Hermann Minkowski
Robert Remak
Euclidean algorithm
geometry of numbers
Diophantine approximation
Berlin
Braunschweig
Wolfgang Gröbner
Bernhard Baule
Ernst Peschl

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