Henry Mann

Henry Berthold Mann ( born October 27, 1905 in Vienna, † February 1, 2000 in Tucson ) was an American mathematician who worked on statistics, combinatorics, algebra and number theory.

Man in 1935 at the University of Vienna doctorate at Philipp Furtwängler with a thesis on algebraic number theory. After a year as a school teacher and then as a tutor and researcher ( as a Jew he could at that time not get employment ), he emigrated to the USA in 1938. There he worked as a tutor, but published already about statistics, especially the statistical design of experiments, which he wrote in 1949 a book. In 1942 he was awarded a Carnegie Fellowship to work on mathematical statistics with Abraham Wald at Columbia University. After research positions at Ohio State University and Brown University in 1946, he was associate professor at Ohio State in 1948 and full professor. In 1964, he retired at Ohio State and was a professor at the University of Wisconsin and 1971 at the University of Arizona. In 1975, he finally sat down to rest.

In 1941 he proved a conjecture of Lev Schnirelmann and Edmund Landau in the additive number theory, about which he had heard in a lecture by Alfred Brauer. For this he received the 1946 Cole Price in number theory. Theorem was also known as () - hypothesis and states that, if and subsets of the natural numbers satisfying the direct sum

The Schnirelmann densities are the subsets

In addition, he studied combinatorics, algebraic number theory and Galois theory.

He was married in 1935 and had a son.

Writings

• Analysis and Design of Experiments. Dover, New York 1949
• Introduction to algebraic number theory. Ohio State University Press 1955
• Addition theorem: the addition theorem of group theory and number theory. Wiley 1965