3 papers
math.NT2025
Counting appearances of integers in sets of arithmetic progressions
Florian Pausinger
The sequence of The On-Line Encyclopedia of Integer Sequences is defined as with being the determinant of the matrix whose diagonal…
math.MG2025
Explicit lower bounds for opaque sets of unit square and unit disc
Markus Kiderlen, Florian Pausinger
Explicit lower bounds for the length of the shortest opaque set for the unit disc and the unit square in the Euclidean plane are derived. The results are based on an explicit appli…
math.CO2025
Symmetry groups and deformations of sums of exponentials
Florian Pausinger, David Petrecca
We study the symmetry groups and winding numbers of planar curves obtained as images of weighted sums of exponentials. More generally, we study the image of the complex unit circle…