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 ...

Abstract. Given a separable nonconstant polynomial f(x) with integer coefficients, we consider the set S consisting of the squarefree parts of all the rational values of f(x), and study its behavior ...

It is known that the expected number of zeros in the interval (-1, 1) of the sum a0ψ0(t) + a1ψ1(t) + ⋯ + anψn(t), in which ψk(t) is the normalized Legendre polynomial of degree k and the coefficients ...

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems. On September ...