The study of polynomial sequences and their moment properties occupies a central role in contemporary mathematical research, bridging classical analysis with modern combinatorial theory. Polynomial ...

Let Tn(x) denote the n'th Tchebycheff polynomial, and let p be an odd prime. For any integer x, the rank of its residue class modulo p is defined to be the least positive integer r for which Tr(x) ≡ 1 ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...