15 citations · 53 across the 27 of their papers we have counts for
7 papers · 1 filter
Lehmer without Bogomolov
Fabien Pazuki, Niclas Technau, Martin Widmer
We construct fields of algebraic numbers that have the Lehmer property but not the Bogomolov property. This answers a recent implicit question of Pengo and the first author.
Gap statistics and higher correlations for geometric progressions modulo one
Christoph Aistleitner, Simon Baker, Niclas Technau +1
Koksma's equidistribution theorem from 1935 states that for Lebesgue almost every , the fractional parts of the geometric progression are equidistributed mo…
Littlewood and Duffin--Schaeffer-type problems in diophantine approximation
Sam Chow, Niclas Technau
Gallagher's theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully-inhomogeneous version of Gallagher's theorem, a diophantin…
On the correlations of mod 1
Niclas Technau, Nadav Yesha
A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts of the sequence $(n^α)_{n\ge1…
On the triple correlations of fractional parts of
Niclas Technau, Aled Walker
For fixed , consider the set of dilated squares modulo . Rudnick and Sarnak conjectured that for Lebesgue almost all such t…
On the order of magnitude of Sudler products
Christoph Aistleitner, Niclas Technau, Agamemnon Zafeiropoulos
Given an irrational number , the Sudler product is defined by . Answering a question of Grepstad, Kaltenböck and Neumüller we prove a…
The metric theory of the pair correlation function of real-valued lacunary sequences
Niclas Technau, Zeév Rudnick
Let be a positive, real-valued, lacunary sequence. This note shows that the pair correlation function of the fractional parts of the dilations i…