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Overpartitions and class numbers of binary quadratic forms
We show that the Zagier–Eisenstein series shares its nonholomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank differences. This has a number of consequences, including exact formulas, asymptotics, and congruences for the rank differenc...
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| Main Authors: | , |
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| Format: | Artigo |
| Language: | Inglês |
| Published: |
National Academy of Sciences
2009
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| Subjects: | |
| Online Access: | https://ncbi.nlm.nih.gov/pmc/articles/PMC2666996/ https://ncbi.nlm.nih.gov/pubmed/19336581 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0900783106 |
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