Abstract
The theory of Bailey chains is extended to yield identities for Hecke type modular forms and related generalizations. The extended results allow us to produce Hecke type series for the fifth and seventh order mock theta functions. New results on the generating function for sums of three squares also follow, and a new proof that every integer is the sum of three triangular numbers is given.
Original language | English (US) |
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Pages (from-to) | 113-134 |
Number of pages | 22 |
Journal | Transactions of the American Mathematical Society |
Volume | 293 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1986 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics