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math.NT2012★ 11 cited
The value distribution of incomplete Gauss sums
Emek Demirci Akarsu, Jens Marklof
It is well known that the classical Gauss sum, normalized by the square-root number of terms, takes only finitely many values. If one restricts the range of summation to a subinter…
math.NT2012
Fine-scale statistics for the multidimensional Farey sequence
Jens Marklof
We generalize classical results on the gap distribution (and other fine-scale statistics) for the one-dimensional Farey sequence to arbitrary dimension. This is achieved by exploit…