22 citations · 77 across the 38 of their papers we have counts for
4 papers · 1 filter
Non-existence of sets with few special directions
Luca Ghidelli, Gergely Kiss, Gábor Somlai
Let be an odd prime and let have cardinality divisible by . We prove that, for all sufficiently large primes , no such set has exactly four spe…
Lower bounds for mask polynomials with many cyclotomic divisors
Gergely Kiss, Izabella Łaba, 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 polynomials of small range sum
Gergely Kiss, Ádám Markó, Zoltán Lóránt Nagy +1
In order to reprove an old result of Rédei's on the number of directions determined by a set of cardinality in , Somlai proved that the non-constant polynomials…
Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication
Gergely Kiss, Gábor Somlai, Tamás Terpai
The main purpose of this paper is to prove that the positive real numbers can be decomposed into finitely many disjoint pieces which are also closed under addition and multiplicati…