Relevant bibliographies by topics / Quintuple product identity

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Academic literature on the topic 'Quintuple product identity'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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Journal articles on the topic "Quintuple product identity"

1

COOPER, SHAUN. "THE QUINTUPLE PRODUCT IDENTITY." International Journal of Number Theory 02, no. 01 (March 2006): 115–61. http://dx.doi.org/10.1142/s1793042106000401.

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The quintuple product identity was first discovered about 90 years ago. It has been published in many different forms, and at least 29 proofs have been given. We shall give a comprehensive survey of the work on the quintuple product identity, and a detailed analysis of the many proofs.
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2

Farkas, Hershel M., and Irwin Kra. "On the quintuple product identity." Proceedings of the American Mathematical Society 127, no. 3 (1999): 771–78. http://dx.doi.org/10.1090/s0002-9939-99-04791-7.

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3

Hirschhorn, M. D. "A generalisation of the quintuple product identity." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 44, no. 1 (February 1988): 42–45. http://dx.doi.org/10.1017/s1446788700031359.

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AbstractThe quintuple product identity has appeared many times in the literature. Indeed, no fewer than 12 proofs have been given. We establish a more general identity from which the quintuple product identity follows in two ways.
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4

Chan, Song Heng, Thi Phuong Nhi Ho, and Renrong Mao. "Truncated series from the quintuple product identity." Journal of Number Theory 169 (December 2016): 420–38. http://dx.doi.org/10.1016/j.jnt.2016.05.013.

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5

Chen, William Y. C., Wenchang Chu, and Nancy S. S. Gu. "Finite form of the quintuple product identity." Journal of Combinatorial Theory, Series A 113, no. 1 (January 2006): 185–87. http://dx.doi.org/10.1016/j.jcta.2005.04.002.

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6

KIM, SUN. "A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY." International Journal of Number Theory 06, no. 02 (March 2010): 247–56. http://dx.doi.org/10.1142/s1793042110002909.

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7

Chan, Hei-Chi. "Another simple proof of the quintuple product identity." International Journal of Mathematics and Mathematical Sciences 2005, no. 15 (2005): 2511–15. http://dx.doi.org/10.1155/ijmms.2005.2511.

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8

Alladi, Krishnaswami. "The quintuple product identity and shifted partition functions." Journal of Computational and Applied Mathematics 68, no. 1-2 (April 1996): 3–13. http://dx.doi.org/10.1016/0377-0427(95)00251-0.

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9

CHEN, SIN-DA, and SEN-SHAN HUANG. "ON GENERAL SERIES-PRODUCT IDENTITIES." International Journal of Number Theory 05, no. 06 (September 2009): 1129–48. http://dx.doi.org/10.1142/s1793042109002596.

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We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for [Formula: see text], the quintuple product identity, and the octuple product identity.
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10

Zhu, Jun-Ming, and Zhi-Zheng Zhang. "A semi-finite form of the quintuple product identity." Journal of Combinatorial Theory, Series A 184 (November 2021): 105509. http://dx.doi.org/10.1016/j.jcta.2021.105509.

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Book chapters on the topic "Quintuple product identity"

1

Hirschhorn, Michael D. "The Quintuple Product Identity." In The Power of q, 99–108. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57762-3_10.

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