Real and imaginary: The time-dependent Schrödinger equation formulated using complex numbers. (Courtesy: iStock/piranka) Complex numbers are essential to achieve the most accurate quantum-mechanical ...

Complex numbers seem to have an almost mystical aura surrounding them. Perhaps it’s because of the terminology used for them – for example, they have a ‘real part’ and an ‘imaginary part’, and they ...

All non-trivial zeros of the zeta function have real part one-half. Unfortunately, all those negative even numbers are trivial zeros. So … where are these non-trivial ones? To answer that, I must take ...