The Power of q pp 185-203 | Cite as

The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan

  • Michael D. HirschhornEmail author
Part of the Developments in Mathematics book series (DEVM, volume 49)


Borwein, Borwein, and Garvan introduced three functions whose behaviour is somewhat analogous to the classical theta-functions. The three functions have proved to play a fairly important role in aspects of partition theory and related areas. They are studied for their properties and the many relations between them, and their implications in earlier and later chapters.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia

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