On congruence conjectures of Andrews and Bachraoui
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917380838391808 |
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| author | Banerjee, Koustav Bringmann, Kathrin Bachraoui, Mohamed El |
| author_facet | Banerjee, Koustav Bringmann, Kathrin Bachraoui, Mohamed El |
| contents | Andrews and the third author recently studied congruences for certain restricted two-color partitions. They made two conjectures for Ramanujan-type congruences and a vanishing identity for the limiting sequence. In this paper, we settle these conjectures by relating the corresponding generating function to modular forms and mock theta functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02239 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On congruence conjectures of Andrews and Bachraoui Banerjee, Koustav Bringmann, Kathrin Bachraoui, Mohamed El Number Theory Combinatorics 05A17, 11P81, 11P83 Andrews and the third author recently studied congruences for certain restricted two-color partitions. They made two conjectures for Ramanujan-type congruences and a vanishing identity for the limiting sequence. In this paper, we settle these conjectures by relating the corresponding generating function to modular forms and mock theta functions. |
| title | On congruence conjectures of Andrews and Bachraoui |
| topic | Number Theory Combinatorics 05A17, 11P81, 11P83 |
| url | https://arxiv.org/abs/2604.02239 |