Education
He did his Doctor of Philosophy in 1920 from the University of Berlin under the supervision of Erhard Schmidt.
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Guido Hoheisel
Edit Profilemathematician university professor
Career
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 < pnθ
for all sufficiently large n. In fact he showed that one may take θ = 32999/33000.
Hoheisel contributed to the journal Deutsche Mathematik.
During World World War II Hoheisel was required to teach classes simultaneously at three universities, in Cologne, Bonn, and Münster. His doctoral students include Arnold Schönhage.
