👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the ...

👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are ...

Harmonic polynomials, constructed as sums of analytic and conjugate-analytic components, present a rich interplay between complex analysis and geometric function theory. Unlike purely analytic ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

Stochastic dynamics of random polynomials on complex manifolds combines probability theory, complex geometry and spectral analysis to characterise the behaviour of zeros of random holomorphic sections ...