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- W2148849801 abstract "In a series of papers the first author and Ono connected the rank, a partition statistic intro- duced by Dyson, to weak Maass forms, a new class of functions related to modular forms. Naturally it is of wide interest to find other explicit examples of Maass forms. Here we construct a new infinite family of such forms, arising from overpartitions. As applications we obtain combinatorial decompositions of Ramanujan-type congruences for overpartitions as well as the modularity of rank differences in certain arithmetic progressions." @default.
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- W2148849801 date "2007-01-01" @default.
- W2148849801 modified "2023-10-11" @default.
- W2148849801 title "Dyson's rank, overpartitions, and weak Maass forms" @default.
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