Characters and q-series in Q2

✍ Scribed by Daniel Corson; David Favero; Kate Liesinger; Sarah Zubairy

• Book ID: 104024426
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 243 KB
• Volume: 107
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2004.03.002

✦ Synopsis

In 1988; G. Andrews, F. Dyson, and D. Hickerson related the arithmetic of Q ffiffi ffi 6 p À Á to certain q-series. We have found q-series that relate in a similar way to Q ffiffi ffi 2 p À Á : In addition to proving analogous results, including an explicit formula for a partition function, we also obtain a generating function for the values of a particular L-function.