The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

There are many known asymptotic estimates for the expected number of real zeros of a trigonometric polynomial V(θ) = a₀ + a₁ cosθ + a₂ cos2θ + . . . + an cos nθ with independent identically ...

A research team led by Prof.GUO Guangcan from the University of Science and Technology of China (USTC),collaborated with Prof.Jiannis K.Pachos from University of Leeds,has experimentally calculated ...

Researchers have made what might be new headway toward a proof of the Riemann hypothesis, one of the most impenetrable problems in mathematics. The hypothesis, proposed 160 years ago, could help ...