2 citations · 2 across the 1 of their papers we have counts for
4 papers
On the Riemann-Hilbert problem for hyperplane arrangements with a good line
Shunya Adachi, Kazuki Hiroe
We study a variant of the Riemann-Hilbert problem on the complements of hyperplane arrangements. This problem asks whether a given local system on the complement can be realized as…
Middle Laplace transform and middle convolution for linear Pfaffian systems with irregular singularities
Shunya Adachi
We introduce a transformation of linear Pfaffian systems, which we call the middle Laplace transform, as a formulation of the Laplace transform from the perspective of Katz theory.…
On a Connection Problem for the Generalized Hypergeometric Equation
Shunya Adachi
We study a connection problem between the fundamental systems of solutions at singular points and for the generalized hypergeometric equation which is satisfied by the gene…
The -Borel Sum of Divergent Basic Hypergeometric Series
Shunya Adachi
We study the divergent basic hypergeometric series which is a -analog of divergent hypergeometric series. This series formally satisfies the linear -difference equation. In t…