Name
Abstract | ||
|---|---|---|
We use q-difference equations to compute a two-variable q-hypergeometric generating function for overpartitions where the difference between two successive parts may be odd only if the larger part is overlined. This generating function specializes in one case to a modular form, and in another to a mixed mock modular form. We also establish a two-variable generating function for the same overpartitions with odd smallest part, and again find modular and mixed mock modular specializations. Applications include linear congruences arising from eigenforms for 3-adic Hecke operators, as well as asymptotic formulas for the enumeration functions. The latter are proven using Wright's variation of the circle method. |
Year | Venue | Keywords |
|---|---|---|
2015 | ELECTRONIC JOURNAL OF COMBINATORICS | overpartitions,q-difference equations,mixed mock modular forms,Wright's circle method |
Field | DocType | Volume |
Modular form,Discrete mathematics,Generating function,Combinatorics,Algebra,Enumeration,Mock modular form,Operator (computer programming),If and only if,Modular design,Congruence relation,Mathematics | Journal | 22 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kathrin Bringmann | 1 | 3 | 4.87 |
| Jehanne Dousse | 2 | 2 | 1.54 |
| Jeremy Lovejoy | 3 | 28 | 7.09 |
| Karl Mahlburg | 4 | 13 | 5.84 |