Factorization of alternating sums of Virasoro characters

Details Factorization of alternating sums of Virasoro characters Factorization of alternating sums of Virasoro characters

2006-01-09

arxiv.org/abs/math/0601181v2

J.Comb.TheorySer.A114:1165-1181,2007

Mathematics

Quantum Algebra

Latex, 17 pages. Several formulas and references added

Scientific paper

G. 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.

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