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
1. Verfasser: Ciolan, Alexandru
Format: Artikel
Sprache:eng
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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
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123444