Factorization of alternating sums of Virasoro characters

dc.creatorMukhin, E.
dc.date2006-01-09
dc.date2006-06-22
dc.date.accessioned2026-07-07T11:07:21Z
dc.date.available2026-07-07T11:07:21Z
dc.descriptionG. Andrews proved that if $n$ is a prime number then the coefficients $a_k$ and $a_{k+n}$ of the product $(q,q)_\infty/(q^n,q^n)_\infty=\sum_k a_kq^k$ have the same sign, see [A1]. We generalize this result in several directions. Our results are based on the observation that many products can be written as alternating sums of characters of Virasoro modules.
dc.descriptionLatex, 17 pages. Several formulas and references added
dc.identifierhttps://arxiv.org/abs/math/0601181
dc.identifierhttp://arxiv.org/abs/math/0601181
dc.identifierJ.Comb.TheorySer.A114:1165-1181,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189814
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.titleFactorization of alternating sums of Virasoro characters
dc.typetext

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