Exact formula for 1-lower run overpartitions
Abstract
We are going to show an exact formula for lower $1$-run overpartitions. The generating function is of mixed mock-modular type with an overall weight $0.$ We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2023
- DOI:
- arXiv:
- arXiv:2307.10441
- Bibcode:
- 2023arXiv230710441M
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Combinatorics