Ranks of overpartitions: Asymptotics and inequalities
In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank generating functions. Using these results, we show that N‾(a,c,n), the number of overpartitions of n with rank congruent to a modulo c, is equidistributed with respect to 0≤a
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Veröffentlicht in: | Journal of mathematical analysis and applications 2019-12, Vol.480 (2), p.123444, Article 123444 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank generating functions. Using these results, we show that N‾(a,c,n), the number of overpartitions of n with rank congruent to a modulo c, is equidistributed with respect to 0≤a |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1016/j.jmaa.2019.123444 |