Tropical Newton-Puiseux polynomials II

Tropical algebra emerges in many fields of mathematics such as algebraic geometry, mathematical physics and combinatorial optimization. In part, its importance is related to the fact that it makes various parameters of mathematical objects ...

Since a tropical Nullstellensatz fails even for tropical univariate polynomials we study a conjecture on a tropical dual Nullstellensatz for tropical polynomial systems in terms of solvability of a tropical linear system with the Cayley matrix ...

Asymptotic estimations of the Christoffel type functions for L"m extremal polynomials with an even integer m with respect to the Jacobi weight are established. Also, asymptotic behavior of the zeros of the L"m extremal polynomials and the Cotes numbers ...