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math.NT2017
Higher dimensional Steinhaus and Slater problems via homogeneous dynamics
Alan Haynes, Jens Marklof
The three gap theorem, also known as the Steinhaus conjecture or three distance theorem, states that the gaps in the fractional parts of take at most three distin…
math.NT2017★ 12 cited
Pair correlation for quadratic polynomials mod 1
Jens Marklof, Nadav Yesha
It is an open question whether the fractional parts of nonlinear polynomials at integers have the same fine-scale statistics as a Poisson point process. Most results towards an aff…