Jens Marklof

collaborators

Showing math.NTShow all

3 papers · 1 filter

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 $[Q - Δ, Q]$ , and $Q, Δ \to \infty$ such that $Δ/ Q \to 0$ . Previous results i…

math.NT2023

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…

math.NT2023

Smallest denominators

Jens Marklof

We establish higher dimensional versions of a recent theorem by Chen and Haynes [Int. J. Number Theory 19 (2023), 1405-1413] on the expected value of the smallest denominator of ra…

Fine-scale statistics for Qn

The log moments of smallest denominators

Smallest denominators

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