Niclas Technau

activity

20162026

most citedThere is no Khintchine threshold for metric pair correlations

15 citations · 53 across the 27 of their papers we have counts for

collaborators

31 papers

math.NT2026

Counterexamples for Rational Points Near Curves

Mingfeng Chen, Rajula Srivastava, Niclas Technau

Let $δ \in [0, 1/2]$ and $Q \geq 1$ . Given a compact $C^{\infty}$ -curve $C$ in $R^{n}$ , denote by $N_{C} (δ, Q)$ the number of pairs $(\mathbf{a}, q)\in \mat…

math.NT2026

Sharp Bounds for Rational Points Near Space Curves

Mingfeng Chen, Andreas Seeger, Rajula Srivastava +1

Let $Q \geq 1$ be large, and $δ \in (0, 1)$ be small. Denote by $C \subset R^{3}$ a sufficiently smooth curve with non-vanishing curvature and torsion. How many rational…

math.NT2026

Poissonian correlations of $α n^{d}$ mod $1$

Chris Lutsko, Nick Rome, Niclas Technau

Let $x (n) := α n^{d} mod 1$ for integer $d > 1$ and non-zero real $α$ . We show that ${x (n)}_{n > 0}$ has Poissonian $ℓ$ -point correlations for almost all choices of $α$ when $d$ is l…

math.NT2026

Rational Points in Hyperbolic Regions and Multiplicative Diophantine Approximation on Manifolds

Sam Chow, Rajula Srivastava, Niclas Technau +1

We establish the convergence theory of multiplicative Diophantine approximation for all non-degenerate, smooth manifolds. We also settle said convergence theory for all affine subs…

math.NT2024

Smooth discrepancy and Littlewood's conjecture

Sam Chow, Niclas Technau

Given $α \in [0, 1]^{d}$ , we estimate the smooth discrepancy of the Kronecker sequence $(n α mod 1)_{n \geq 1}$ . We find that it can be smaller than…

math.NT2024

Gap distribution of $n mod 1$ and the circle method

Maksym Radziwiłł, Niclas Technau

The distribution of the properly renormalized gaps of $n mod 1$ with $n < N$ converges (when $N \to \infty$ ) to a non-standard limit distribution, as Elk…

Counterexamples for Rational Points Near Curves

Sharp Bounds for Rational Points Near Space Curves

Poissonian correlations of αnd mod 1

Rational Points in Hyperbolic Regions and Multiplicative Diophantine Approximation on Manifolds

Smooth discrepancy and Littlewood's conjecture

Gap distribution of n​mod1 and the circle method

Poissonian correlations of $α n^{d}$ mod $1$

Gap distribution of $n mod 1$ and the circle method