Mathematicians were disturbed, centuries ago, to find that calculating the properties of certain curves demanded the seemingly impossible: numbers that, when multiplied by themselves, turn negative.

Imaginary numbers might seem like unicorns and goblins — interesting but irrelevant to reality. But for describing matter at its roots, imaginary numbers turn out to be essential. They seem to be ...

Think back to elementary school during which you learned about a seemingly useless mathematical relic called prime numbers. Your teacher told you in class one day that they are special numbers, ...

It should be impossible to measure an imaginary number in the lab, but a group of researchers have found a way to do so. They produced the equivalent of a magnetic field of imaginary strength, meaning ...

Students of elementary complex analysis usually begin by seeing the derivation of the Cauchy-Riemann equations. A topic of interest to both the development of the theory and its applications is the ...

We prove Weyl's law for Hecke operators acting on cusp forms of GL(n) over imaginary quadratic number fields together with an upper bound for the error term depending ...