3 problems

0 votes0 replies0 views
Merino's irreducibility conjecture for Chebyshev-Lissajous polynomials
Merino's irreducibility conjecture. This polynomial is irreducible over $\mathbb{R}$ if and only if $m$ and $n$ are coprime. The claim gives a precise arithmetic criterion for irre…
Conjectureopenchebyshev-polynomials irreducibility lissajous-curvesarXiv posted 2 days ago
0 votes0 replies0 views
Merino's Lissajous decomposition conjecture for Chebyshev polynomials
Merino's conjecture. This curve is the union of a finite number of Lissajous curves. The conjecture concerns the decomposition of the Chebyshev-defined curve into parametrized Liss…
Conjectureopenalgebraic-curves chebyshev-polynomials lissajous-curvesarXiv posted 2 days ago
0 votes0 replies1 view
Log-squared growth conjecture for the Lebesgue constants of Lisa points
Let $\mathrm{Lisa}_{n,p}$ denote the Lisa point set used for bivariate Lagrange interpolation, and let $L_\mathcal{A}$ be its fundamental Lagrange polynomials. Its Lebesgue constan…
Conjectureopenlebesgue-constants lissajous-curves polynomial-interpolationarXiv posted 2 days ago

Merino's irreducibility conjecture for Chebyshev-Lissajous polynomials