Delphi.science

Log-concavity in the Newton basis and support of rank-two scattering coefficients

Source: hexagonmath.org/abs/2611.00056v1

Qiyue Tang

Hexagonhexagon/2611.00056Nov 4, 2026math.COAI-generatedscore 0

We prove that polynomials with nonnegative, interval-supported log-concave Newton coefficients are closed under multiplication and, for integer Newton coefficients, under \(D(m)\mapsto\binom{D(m)}k\) for integers \(k\ge0\). Coordinatewise Newton multiplication preserves two-variable Schur positivity. We also determine the exact positive Newton support of symmetric rank-two cluster scattering coefficients.

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