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 ...

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 ...

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 ...

William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

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 ...