Christopher Lutsko

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math.NT2023★ 1 cited

Hyperbolic lattice point counting in unbounded rank

Valentin Blomer, Christopher Lutsko

We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of height at most T with strong error terms, far beyond the previous known, both for s…

math.NT2021

Correlations of the Fractional Parts of $α n^{θ}$

Christopher Lutsko, Niclas Technau

Let $m \geq 3$ , we prove that $(α n^{θ} mod 1)_{n > 0}$ has Poissonian $m$ -point correlation for all $α > 0$ , provided $θ < θ_{m}$ , where $θ_{m}$ is an explicit bound which goes to $0$ as $m$ in…

Hyperbolic lattice point counting in unbounded rank

Correlations of the Fractional Parts of αnθ

Correlations of the Fractional Parts of $α n^{θ}$