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math.NT2020
A five distance theorem for Kronecker sequences
Alan Haynes, Jens Marklof
The three distance theorem (also known as the three gap theorem or Steinhaus problem) states that, for any given real number and integer , there are at most three values for…
math.NT2020
Delone sets generated by square roots
Jens Marklof
Delone sets are locally finite point sets, such that (a) any two points are separated by a given minimum distance, and (b) there is a given radius so that every ball of that radius…