Mathematical Research Letters

Volume 9, Issue 2, May 2002 pp. 191-198.

Lacunary partition functions

Authors: Jeremy Lovejoy
Author institution: Institut de Mathematiques de Jussieu

Summary: We combine the theory of Bailey chains and the theory of binary quadratic forms to show that there are large classes of $q$-series which are not theta series but whose coefficients are almost all $0$. We interpret some examples in terms of simple partition functions.

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