Jens Marklof

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math.NT2026

Fine-scale statistics for $Q^{n}$

Gaurav Aggarwal, Anish Ghosh, Jens Marklof

We study the distribution of rational points in $R^{n}$ , with denominators restricted to the interval $[Q - I^, Q]$ , and $Q, I^ \to \infty$ such that $I^/ Q \to 0$ . Previous result…

math.NT2024

The log moments of smallest denominators

Jens Marklof

This paper studies the logarithmic moments of the smallest denominator of all rationals in a shrinking interval with random center. Convergence follows from the more general result…

Fine-scale statistics for Qn

The log moments of smallest denominators

Fine-scale statistics for $Q^{n}$