Remarks on the pair correlation statistic of Kronecker sequences and lattice point counting
Remarks on the pair correlation statistic of Kronecker sequences and lattice point counting
Abstract In this short note, we reformulate the task of calculating the pair correlation statistics of a Kronecker sequence as a lattice point counting problem. This can be done analogously to the lattice based approach which was used to (re-)prove the famous three gap property for Kronecker sequences. We show …