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 ...

Have you ever sat in a math classroom and wondered, “When will I ever use this?” You might have asked yourself this question when you first encountered “imaginary” numbers, and with good reason: What ...

On donne une preuve simple que pour tout ensemble fini de nombres complexes A, la taille de l'ensemble de sommes A + A ou celle de l'ensemble de produits A · A est toujours grande. We give a simple ...

Analytic number theory occupies a central place in modern mathematics by employing analytical techniques to address questions surrounding the distribution of prime numbers and the behaviour of ...

This is a preview. Log in through your library . Abstract In response to a question of W. M. Priestley, we construct a nonvanishing infinite sequence of complex numbers (aj) such that all the ...