Galois groups of the basic hypergeometric equations

TL;DR

This paper computes the Galois groups associated with basic hypergeometric equations, providing insights into their algebraic symmetries and solution structures.

Contribution

It presents the first systematic computation of Galois groups for basic hypergeometric equations, advancing understanding of their algebraic properties.

Findings

Galois groups characterized for various basic hypergeometric equations

Identification of symmetry groups influencing solutions

New classifications of algebraic solutions

Abstract

In this paper we compute the Galois groups of basic hypergeometric equations.