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math.NT2002
Equidistribution of Kronecker sequences along closed horocycles
Jens Marklof, Andreas Strombergsson
It is well known that (i) for every irrational number the Kronecker sequence () is equidistributed modulo one in the limit , and (ii) closed horocyc…
math.NT2002★ 3 cited
Pair correlation densities of inhomogeneous quadratic forms II
Jens Marklof
Denote by the euclidean norm in $\RR^k$. We prove that the local pair correlation density of the sequence $\| \vecm -\vecalf \|^k$, $\vecm\in\ZZ^k$, is that of a Pois…
math.NT2002
Pair correlation densities of inhomogeneous quadratic forms
Jens Marklof
Under explicit diophantine conditions on $(α,β)\in\RR^2$, we prove that the local two-point correlations of the sequence given by the values $(m-α)^2+\break (n-β)^2$, with $(m,n)\i…