From the 1 of 10 linked papers with an AI index.
10 papers
On polynomials of small range sum
Gergely Kiss, Ãdám Markó, Zoltán Lóránt Nagy +1
The paper classifies all non‑constant polynomials over the finite field \(\mathbb{F}_p\) whose integer range sums equal \(p\) and have degree exactly \((p-1)/2\) for sufficiently l…
N-ary quasi-arithmetic means and families without regularity
Gergely Kiss, Ekaterina Shulman
The classical theorems of Kolmogorov--Nagumo--de Finetti and of Aczel--Maksa characterize quasi-arithmetic means from two complementary directions: the former for compatible famili…
Invariants and equidecomposability in rings of polygons with sides of given directions
Gergely Kiss, Miklós Laczkovich
We investigate equidecomposability in the ring of polygons with sides restricted to given directions and using only translations. Extending classical results of Dehn and Hadwiger,…
Lower bounds for mask polynomials with many cyclotomic divisors
Gergely Kiss, Izabella Åaba, Caleb Marshall +1
Given a nonempty set , define the mask polynomial . Suppose that there are $s_1,\dots,s_k\in\nn\setminus\{1\}$ such that the…
On noncontinuous bisymmetric strictly monotone operations
Gergely Kiss
We construct bisymmetric, strictly increasing binary operations on real intervals which are not continuous. This answers a natural question in the theory of bisymmetric and mean-ty…
Cylinder type and -divisible sets in
Gergely Kiss, Ãdám Markó, Zoltán Lóránt Nagy +1
A set of points is called \emph{-divisible} if every affine hyperplane in intersects in points. The Strong Cylinder…