Jennings-Shaffer, Chris and Reihill, Dillon (2020). Asymptotic formulas related to the M-2-rank of partitions without repeated odd parts. Ramanujan J., 52 (1). S. 175 - 243. DORDRECHT: SPRINGER. ISSN 1572-9303
Full text not available from this repository.Abstract
We give asymptotic expansions for the moments of the M-2-rank generating function and for the M-2-rank generating function at roots of unity. For this we apply the Hardy-Ramanujan circle method extended to mock modular forms. Our formulas for the M-2-rank at roots of unity lead to asymptotics for certain combinations of N2(r, m, n) (the number of partitions without repeated odd parts of n with M-2-rank congruent to r modulo m). This allows us to deduce inequalities among certain combinations of N2(r, m, n). In particular, we resolve a few conjectured inequalities of Mao.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-336025 | ||||||||||||
DOI: | 10.1007/s11139-019-00147-y | ||||||||||||
Journal or Publication Title: | Ramanujan J. | ||||||||||||
Volume: | 52 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 175 - 243 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | SPRINGER | ||||||||||||
Place of Publication: | DORDRECHT | ||||||||||||
ISSN: | 1572-9303 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/33602 |
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