Abstract
In this chapter, we apply Heine’s formula to prove a remarkable identity discovered by the Indian mathematician Ramanujan. This identity relates a bilateral q-hypergeometric series to an infinite product, and it has many interesting applications in number theory, which will be discussed in subsequent chapters.
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© 2002 Victor Kac.
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Kac, V., Cheung, P. (2002). Ramanujan Product Formula. In: Quantum Calculus. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0071-7_15
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DOI: https://doi.org/10.1007/978-1-4613-0071-7_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95341-0
Online ISBN: 978-1-4613-0071-7
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