Let T be a subset of the set I of non-negative integers. Define f(θ) = ∑ a(x)θx where the summation extends over T and $a(x) > 0, \theta \geqq 0$ with θ ε Θ ...

This is a preview. Log in through your library . Abstract Let $\mathscr{A}$ be a set of nonnegative integers, and let $r^{\mathscr{A}}_2(n)$ denote the number of ...

Van Ha Vu, newly named as the Percey F. Smith Professor of Mathematics, studies combinatorics, probability, additive number theory, and theoretical computer science. Vu received his Ph.D. in ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...

Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...