Lorenz Fruhwirth

activity

20232025

most citedThe Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2025

Moment generating functions and moderate deviation principles for lacunary trigonometric sums

Christoph Aistleitner, Lorenz Frühwirth, Manuel Hauke +1

In a recent paper, Aistleitner, Gantert, Kabluchko, Prochno and Ramanan studied large deviation principles (LDPs) for lacunary trigonometric sums $\sum_{n = 1}^{N} cos (2 π n_{k} x)$ , whe…

math.NT2024★ 2 cited

The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

Lorenz Frühwirth, Manuel Hauke

Given a monotonically decreasing $ψ : N \to [0, \infty)$ , Khintchine's Theorem provides an efficient tool to decide whether, for almost every $α \in R$ , there are in…

math.DS2023

On Birkhoff sums that satisfy no temporal distributional limit theorem for almost every irrational

Lorenz Frühwirth, Manuel Hauke

Dolgpoyat and Sarig showed that for any piecewise smooth function $f : T \to R$ and almost every pair $(α, x_{0}) \in T \times T$ , $S_N(f,α,x_0) :=…