Abstract
In this paper, we prove a general theta function identity, which contains the quintuple product identity and Winquist's identity and many other important results of elliptic theta functions as special cases. This identity can also be used to derive some important identities for the Appell theta functions. A new representation for the generating function for sums of three squares is given.
| Original language | English |
|---|---|
| Pages (from-to) | 2064-2093 |
| Number of pages | 30 |
| Journal | International Mathematics Research Notices |
| Volume | 2010 |
| Issue number | 11 |
| DOIs | |
| State | Published - 2010 |