MathOverflow

Is it possible to express the solution y(x) to Transcendental Equation y+t=x*E^(y^2),t≠0 in terms of the Lambert W function?

Let $k$ be a field, say, of characteristic $0$ and $G$ its absolute Galois group. There is a contravariant bijective correspondance between $k$-tori and free finite type $\mathbb{Z}$-modules with $G$-action, given by the characters:
$$X^*(T) = \text{Hom}_{\overline{k}-\text{alg groups}} (T_{\overline{k}}, \mathbb{G}_{m, \overline{k}})$$The $G$-action given by conjugation. (These facts can be checked, for example, in Borel's linear algebraic groups). Does anyone know an example of...

If $(P, \leq)$ is a poset, we denote by $\newcommand\Max{\text{Max}}\Max(P)$ the collection of maximal elements of $(P,\leq)$.
In order to agree on a common definition of a (finite or infinite) matroid, we call a matroid a pair $M=(E, {\cal I})$ where $E$ is a finite or infinite set and ${\cal I}\subseteq {\cal P}(E)$ such that the following statements hold:...

It is well-known that real valued Schwartz functions on $\mathbb{R}_+$ $\mathcal{S}(\mathbb{R}_+)$ are dense in the set of square integrable functions on $\mathbb{R}_+$ $L^2(\mathbb{R}_+)$. We can further restrict this result to nonnegative functions...