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math.NT2016★ 1 cited
The three gap theorem and the space of lattices
Jens Marklof, Andreas Strömbergsson
The three gap theorem (or Steinhaus conjecture) asserts that there are at most three distinct gap lengths in the fractional parts of the sequence , for any integer…
math.NT2016
Effective equidistribution of rational points on expanding horospheres
Min Lee, Jens Marklof
Einsiedler, Mozes, Shah and Shapira [Compos. Math. 152 (2016), 667-692] prove an equidistribution theorem for rational points on expanding horospheres in the space of d-dimensional…