Marc Technau

activity

20152026

most citedModular hyperbolas and Beatty sequences

7 citations · 27 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 5 cited

Metric results on summatory arithmetic functions on Beatty sets

Marc Technau, Agamemnon Zafeiropoulos

Let $f : N \to C$ be an arithmetic function and consider the Beatty set $B (α) = {⌊ n α ⌋ : n \in N}$ associa…

math.NT2019

On the distribution of $α p$ modulo one in imaginary quadratic number fields with class number one

Stephan Baier, Marc Technau

We investigate the distribution of $α p$ modulo one in imaginary quadratic number fields $K \subset C$ with class number one, where $p$ is restricted to prime elemen…

math.NT2019★ 4 cited

Kloosterman sums with twice-differentiable functions

Igor E. Shparlinski, Marc Technau

We bound Kloosterman-like sums of the shape \[ \sum_{n=1}^N \exp(2πi (x \lfloor f(n)\rfloor+ y \lfloor f(n)\rfloor^{-1})/p), \] with integers parts of a real-valued, twice-differen…

Metric results on summatory arithmetic functions on Beatty sets

On the distribution of αp modulo one in imaginary quadratic number fields with class number one

Kloosterman sums with twice-differentiable functions

On the distribution of $α p$ modulo one in imaginary quadratic number fields with class number one