Abstract
We recall that the two Euler identities, (9.3) and (9.4), relate infinite products and infinite sums. In this chapter, we will use them to prove an important identity first discovered by Jacobi. Several interesting appli-cations of this identity in number theory will be explored in subsequent chapters.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Victor Kac.
About this chapter
Cite this chapter
Kac, V., Cheung, P. (2002). Jacobi’s Triple Product Identity. In: Quantum Calculus. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0071-7_11
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0071-7_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95341-0
Online ISBN: 978-1-4613-0071-7
eBook Packages: Springer Book Archive