MathOverflow

Below I present evidence that the power series corresponding to the multiplicative inverse, or reciprocal, of a power series can be constructed from the geometric combinatorics of hypercubes. Does someone have a reference for the full development of...

Let $M$ be a smooth manifold which globally supports an integrable rank $n$ subbundle of $D \subseteq TM$. Does there always exist a rank $2$ distribution $P \subseteq TM$ with Lie flag$$P^{(0)} \subseteq P^{(1)} \subseteq \cdots \subseteq P^{(\infty...

I'm investigating an approach to the HilbertSmith Conjecture using a dimension theoretic argument and I have a question about whether a proposed mechanism has a fundamental obstruction.So Suppose Zp acts effectively on a connected n-manifold M. Form...

Do there exist integers $x,y,z$ satisfying$$(3x-1)y^2 + x z^2 = x^3-2 \quad ?$$
Hilbert's 10th Problem is unsolvable in general, but is still open for cubic equations: it is unknown whether there exists an algorithm that decides whether a cubic equation has an integer solution....