Kılıç, Yalçın Can and Kurşungöz, Kağan (2025) Finding systems of functional equations for Andrews-Gordon type series. Ramanujan Journal, 68 (1). ISSN 1382-4090 (Print) 1572-9303 (Online)
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Official URL: https://dx.doi.org/10.1007/s11139-025-01182-8
Abstract
We develop a search algorithm for systems of q-difference equations satisfied by Andrews-Gordon type double series. We then couple the search algorithm with Euler’s algorithm for finding infinite products to narrow the search space. We exemplify some findings of the algorithm, along with their proofs. We also explain some of the double series in a base partition and moves framework.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Andrews-Gordon type series; Functional equations; Integer partition; Partition generating fuction |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Kağan Kurşungöz |
| Date Deposited: | 05 Sep 2025 14:52 |
| Last Modified: | 05 Sep 2025 14:52 |
| URI: | https://research.sabanciuniv.edu/id/eprint/52180 |
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