A q-product tutorial for a q-series MAPLE package
Combinatorics
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Number Theory
Quantum Algebra
Abstract
This is a tutorial for using a new q-series Maple package. The package includes facilities for conversion between q-series and q-products and finding algebraic relations between q-series. Andrews found an algorithm for converting a q-series into a product. We provide an implementation. As an application we are able to effectively find finite q-product factorisations when they exist thus answering a question of Andrews. We provide other applications involving factorisations into theta functions and eta products.
Cite
@article{arxiv.math/9812092,
title = {A q-product tutorial for a q-series MAPLE package},
author = {Frank Garvan},
journal= {arXiv preprint arXiv:math/9812092},
year = {2025}
}
Comments
26 pages