Garnowski, Taylor . Asymptotics for Bailey-type mock theta functions. Ramanujan J.. DORDRECHT: SPRINGER. ISSN 1572-9303
Full text not available from this repository.Abstract
We compute asymptotic estimates for the Fourier coefficients of two mock theta functions, which come from Bailey pairs derived by Lovejoy and Osburn. To do so, we employ the circle method due to Wright and a modified Tauberian theorem. We encounter cancelation in our estimates for one of the mock theta functions due to the auxiliary function theta(n, p) arising from the splitting of Hickerson and Mortenson. We deal with this by using higher-order asymptotic expansions for the Jacobi theta functions.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-564796 | ||||||||
| DOI: | 10.1007/s11139-021-00511-x | ||||||||
| Journal or Publication Title: | Ramanujan J. | ||||||||
| Publisher: | SPRINGER | ||||||||
| Place of Publication: | DORDRECHT | ||||||||
| ISSN: | 1572-9303 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/56479 |
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