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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)....

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Bryson, Jennifer, Ono, Ken, Pitman, Sarah, Rhoades, Robert C.
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: National Academy of Sciences 2012
Gaiak:
Sarrera elektronikoa:https://ncbi.nlm.nih.gov/pmc/articles/PMC3479563/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1211964109
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