Loading AI tools
From Wikipedia, the free encyclopedia
Guido Karl Heinrich Hoheisel (14 July 1894 – 11 October 1968) was a German mathematician and 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.[1] During World War II Hoheisel was required to teach classes simultaneously at three universities, in Cologne, Bonn, and Münster.[2] His doctoral students include Arnold Schönhage.
Hoheisel contributed to the journal Deutsche Mathematik.
Hoheisel is known for a result on gaps between prime numbers:[3] He proved that if π(x) denotes the prime-counting function, then there exists a constant θ < 1 such that
as x tends to infinity, implying that if pn denotes the n-th prime number then
for all sufficiently large n. He showed that one may take
with (03) denoting periodic repetition.
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.