The gamma-polynomial of a symmetric polynomial being log-concave (with no internal zeros) implies the polynomial itself is log-concave, answering a question of Branden, Ferroni, and Jochemko.
Gal, Real root conjecture fails for five- and higher-dimensional spheres, Discrete Comput
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Preservation of log-concavity on gamma polynomials
The gamma-polynomial of a symmetric polynomial being log-concave (with no internal zeros) implies the polynomial itself is log-concave, answering a question of Branden, Ferroni, and Jochemko.