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math.NT2021
Correlations of the Fractional Parts of
Christopher Lutsko, Niclas Technau
Let , we prove that has Poissonian -point correlation for all , provided , where is an explicit bound which goes to as in…
math.NT2021★ 1 cited
Pair Correlation of the Fractional Parts of
Christopher Lutsko, Athanasios Sourmelidis, Niclas Technau
Fix , and consider the sequence . Since the seminal work of Rudnick--Sarnak (1998), and due to the Berry--Tabor conjecture in quantum chaos, the fine…