cyclic groups 1direction problem 1discrete fourier analysis 1finite fields 1fuglede's conjecture 1inductive techniques 1polynomial degree 1range sum 1spectral sets 1square-free order 1tiling 1
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math.NT2026
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…
math.NT2026
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…