21 citations · 32 across the 5 of their papers we have counts for
5 papers
On the -Pair Correlation Density of Quadratic Sequences Modulo One
Thomas Hille
In this note we study the -pair correlation density \begin{equation*}R_2^σ([a,b], \{ θ_n \}_n, N)= \frac{1}{N^{2-σ}} \# \big \{ 1 \leq j \neq k \leq N \, \big| \, θ_{j} - θ_{k}…
Small Values of Indefinite Diagonal Quadratic Forms at Integer Points in at least five Variables
Paul Buterus, Friedrich Götze, Thomas Hille
For any we derive effective estimates for the size of a non-zero integral point solving the Diophantine inequality $\lvert Q[…
Effects of Automated Interventions in Programming Assignments: Evidence from a Field Experiment
Ralf Teusner, Thomas Hille, Thomas Staubitz
A typical problem in MOOCs is the missing opportunity for course conductors to individually support students in overcoming their problems and misconceptions. This paper presents th…
Aspects on Finding the Optimal Practical Programming Exercise for MOOCs
Ralf Teusner, Thomas Hille, Christiane Hagedorn
Massive Open Online Courses (MOOCs) focus on manifold subjects, ranging from social sciences over languages to technical skills, and use different means to train the respective ski…
Distribution of Values of Quadratic Forms at Integral Points
Paul Buterus, Friedrich Götze, Thomas Hille +1
The number of lattice points in -dimensional hyperbolic or elliptic shells , which are restricted to rescaled and growing domains , is approximated by th…