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| Main Author: | |
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| Format: | Preprint |
| Published: |
1998
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/9812092 |
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| _version_ | 1866908600151048192 |
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| author | Garvan, Frank |
| author_facet | Garvan, Frank |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9812092 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | A q-product tutorial for a q-series MAPLE package Garvan, Frank Combinatorics Numerical Analysis Number Theory Quantum Algebra 05A17, 11P81, 68Q40 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. |
| title | A q-product tutorial for a q-series MAPLE package |
| topic | Combinatorics Numerical Analysis Number Theory Quantum Algebra 05A17, 11P81, 68Q40 |
| url | https://arxiv.org/abs/math/9812092 |