Bi-univalent functions constitute a significant subclass of analytic functions defined on the open unit disc, characterised by the property that both the function and its inverse are univalent. This ...

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 ...

An algebraic expression is any expression containing only algebraic symbols and operations such as addition, subtraction, multiplication, non-zero division, extraction of roots etc. The simplest type ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...