Mathematics Problem Archive

Is the weak order on S_(n) (the "inversion" poset) Sperner?...

If the critical set of $u(x)=\sum_{k=1}^n a_k/|x-x_k|$ for positive point charges in $\mathbb R^3$ is finite, how many points can it contain? In parti...

For a monic polynomial $p$ of degree $d$, determine the maximum length of the lemniscate $E(p)=\{z:|p(z)|=1\}$. Is the extremal asymptotically $p(z)=z...

Determine all single sided (resp. double sided) sequences that are pattern Sturmian....

Give a similar universal estimate of the radius of convergence for multidimensional Newton’s method of [Shub and Smale1993]....