Mathematical Research Letters

Volume 9 (2002)

Number 2

Lacunary partition functions

Pages: 191 – 198



Jeremy Lovejoy (Institut de Mathematiques de Jussieu)


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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