From the 2 of 8 linked papers with an AI index.
8 papers
Fuglede's Conjecture on Cyclic Groups of Square-Free Order: The Case of Rapidly Growing Prime Factors
Gábor Somlai
The paper proves the tile‑to‑spectral direction of Fuglede's conjecture for all square‑free cyclic groups and establishes the spectral‑to‑tiling direction for those whose prime fac…
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…
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…
Functional tilings and the Coven-Meyerowitz tiling conditions
Gergely Kiss, Itay Londner, Máté Matolcsi +1
Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conject…
Dihedral groups of square-free order are DCI-groups
István Kovács, Gábor Somlai
A finite group is a called a DCI-group if any two isomorphic Cayley digraphs of are also isomorphic via an automorphism of . If is a non-abelian generalised dihedral…
Spectrality of the product does not imply that the components are spectral
Gábor Somlai
Greenfeld and Lev conjectured that the Cartesian product of two sets and is spectral if and only if and are spectral. We construct a counterexample to this fact usi…