New fifth and seventh order mock theta function identities
| Autor: | Garvan, Frank |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We give simple proofs of Hecke-Rogers indefinite binary theta series identities for the two Ramanujan fifth order mock theta functions $\chi_0(q)$ and $\chi_1(q)$ and all three of Ramanujan's seventh order mock theta functions. We find that the coefficients of the three mock theta functions of order 7 are surprisingly related. Comment: 16 pages, accepted to appear in the GEA80 Special Issue of the Annals of Combinatorics |
| Databáze: | arXiv |
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