Guido Hoheisel (1894–1968) was a German mathematician, a professor of mathematics at the University of Cologne. He did his PhD in 1920 from the University of Berlin under the supervision of Erhard Schmidt.
- π(x + xθ) − π(x) ~ xθ/log(x),
as x tends to infinity, implying that if pn denotes the n-th prime number then
- pn+1 − pn < pnθ
for all sufficiently large n. In fact he showed that one may take θ = 32999/33000.
During World War II, as one of the few remaining competent mathematicians in Germany, Hoheisel was required to teach classes simultaneously at three universities, in Cologne, Bonn, and Münster. His doctoral students include Arnold Schönhage.
- Guido Hoheisel at the Mathematics Genealogy Project.
- G. Hoheisel, Primzahlprobleme in der Analysis, Berliner Sitzungsberichte, pages 580-588, (1930)
- Segal, Sanford L. (2003), Mathematicians under the Nazis, Princeton University Press, p. 210, ISBN 978-0-691-00451-8.