Name Guido Hoheisel Role Mathematician | Books Integral equations | |
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Died October 11, 1968, Cologne, Germany Education Humboldt University of Berlin | ||
Guido Kark Heinrich Hoheisel (14 July 1894 – 11 October 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.
Hoheisel is known for a result on gaps between prime numbers. He proved that if π(x) denotes the prime-counting function, then there exists a constant θ < 1 such that
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 < pnθfor all sufficiently large n. In fact he showed that one may take θ = 32999/33000.
Hoheisel contributed to the journal Deutsche Mathematik.
During World War II Hoheisel was required to teach classes simultaneously at three universities, in Cologne, Bonn, and Münster. His doctoral students include Arnold Schönhage.