Factorization of alternating sums of Virasoro characters

E. Mukhin

Factorization of alternating sums of Virasoro characters

Quantum Algebra 2008-11-26 v2 Combinatorics

Authors: E. Mukhin

Abstract

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.

Keywords

alternating sums Virasoro characters factorization q-series modular forms

Cite

@article{arxiv.math/0601181,
  title  = {Factorization of alternating sums of Virasoro characters},
  author = {E. Mukhin},
  journal= {arXiv preprint arXiv:math/0601181},
  year   = {2008}
}

Comments

Latex, 17 pages. Several formulas and references added

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