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Unimodal sequences and quantum and mock modular forms
We show that the rank generating function U(t; q) for strongly unimodal sequences lies at the interface of quantum modular forms and mock modular forms. We use U(-1; q) to obtain a quantum modular form which is “dual” to the quantum form Zagier constructed from Kontsevich’s “strange” function F(q)....
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| Main Authors: | , , , |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
2012
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.gov/pmc/articles/PMC3479563/ https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1211964109 |
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