7 problems

Let $A$, $\boldsymbol{\Pi}$, $\boldsymbol{\omega}$, and $\boldsymbol{\omega'}$ be parameters for the Dirichlet series…

Let $A$ be the integer matrix defining the multiple Dirichlet series $D_{A,\boldsymbol{\Pi}}(\boldsymbol{s};\boldsymbol{\omega},\boldsymbol{\omega'})$, let…

Elliptic-curve multiple-Dirichlet-series pole conjecture. The function

Unitary multiple-Dirichlet-series pole conjecture. The function

Absolute-convergence conjecture. The series

Diagonal residue product conjecture. We have

Type C multiple-Dirichlet-series conjecture. The series $Z_\Psi(\mathbf{s};\mathbf{m})$ should have meromorphic continuation to $\mathbb{C}^r$ and satisfy a group of functional equ…