5 problems

Let $M$ be a connected, non-compact, orientable 3-manifold with one toroidal end, let $\mathcal{T}$ be an ideal triangulation, and let…

Let a Mellin–Barnes integral have building blocks and corresponding master series obtained from its conic-hull representation. The master series is formed by mapping the common int…

Consider an $N$-fold Mellin–Barnes integral with a linear combination of multiple hypergeometric series representing it, and construct the associated master series from a master se…

Let an $N$-fold Mellin–Barnes integral have a series representation, and let a master set be a set of poles that parameterizes, up to a change of variables, all poles associated wi…

Conjecture 1. Any polynomial (rational) solution of a multivariable linear system of differential equations related to a Feynman diagram can be written as a product of one-loop bub…