On Applications of Roots of Unity to Product Identities

Cao, Zhu

doi:10.1007/978-1-4614-0028-8_5

Zhu Cao³

Part of the book series: Developments in Mathematics ((DEVM,volume 23))

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Abstract

In this paper, we give simple proofs of the quintuple product identity and the septuple product identity using properties of cube and fifth roots of unity.

Mathematics Subject Classification:Primary: 05A30; Secondary: 33D15, 14K25

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Authors and Affiliations

Department of Mathematics, The University of Mississippi, Oxford, MS, 38677, USA
Zhu Cao

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Zhu Cao
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Correspondence to Zhu Cao .

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Editors and Affiliations

, Department of Mathematics, University of Florida, Gainesville, 32611, Florida, USA
Krishnaswami Alladi
, Mathematics, University of Florida, Gainesville, 32611, Florida, USA
Frank Garvan

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Cao, Z. (2012). On Applications of Roots of Unity to Product Identities. In: Alladi, K., Garvan, F. (eds) Partitions, q-Series, and Modular Forms. Developments in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0028-8_5

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DOI: https://doi.org/10.1007/978-1-4614-0028-8_5
Published: 05 August 2011
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0027-1
Online ISBN: 978-1-4614-0028-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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