More lacunary partition functions

Jeremy Lovejoy

doi:10.1215/ijm/1258138193

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Home > Journals > Illinois J. Math. > Volume 47 > Issue 3 > Article

Fall 2003 More lacunary partition functions

Jeremy Lovejoy

Illinois J. Math. 47(3): 769-773 (Fall 2003). DOI: 10.1215/ijm/1258138193

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Abstract

The Heine transformation and the theory of Bailey pairs are combined to construct partition functions that are not theta series yet are almost always $0$.