Rolon, Jose Miguel Zapata (2015). Asymptotics of crank generating functions and Ramanujan congruences. Ramanujan J., 38 (1). S. 147 - 179. DORDRECHT: SPRINGER. ISSN 1572-9303
Full text not available from this repository.Abstract
In this paper we obtain asymptotic formulas for the Fourier coefficients of an infinite family of crank-generating functions. Moreover, we use this result to show that the crank obeys certain inequalities. This implies that the crank cannot explain any partition congruences in the usual way beside the three deduced by Ramanujan.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-391786 | ||||||||
| DOI: | 10.1007/s11139-014-9582-7 | ||||||||
| Journal or Publication Title: | Ramanujan J. | ||||||||
| Volume: | 38 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | S. 147 - 179 | ||||||||
| Date: | 2015 | ||||||||
| 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/39178 |
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