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Relevant bibliographies by topics / Winquist identity

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Academic literature on the topic 'Winquist identity'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Winquist identity"

1

Kang, Soon-Yi. "A New Proof of Winquist's Identity." Journal of Combinatorial Theory, Series A 78, no. 2 (May 1997): 313–18. http://dx.doi.org/10.1006/jcta.1996.2781.

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2

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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3

Hammond, Paul, Richard Lewis, and Zhi-Guo Liu. "Hirschhorn's identities." Bulletin of the Australian Mathematical Society 60, no. 1 (August 1999): 73–80. http://dx.doi.org/10.1017/s0004972700033347.

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We prove a general identity between power series and use this identity to give proofs of a number of identities proposed by M.D. Hirschhorn. We also use the identity to give proofs of a well-known result of Jacobi, the quintuple-product identity and Winquist's identity.

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4

Chu, Wenchang, and Qinglun Yan. "Winquist’s identity and Ramanujan’s partition congruence p(11n+6)≡0(mod11)." European Journal of Combinatorics 29, no. 3 (April 2008): 581–91. http://dx.doi.org/10.1016/j.ejc.2007.05.003.

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5

Nupet, Chutchai, and Sarachai Kongsiriwong. "Two Simple Proofs of Winquist's Identity." Electronic Journal of Combinatorics 17, no. 1 (August 24, 2010). http://dx.doi.org/10.37236/388.

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We give two new proofs of Winquist's identity. In the first proof, we use basic properties of cube roots of unity and the Jacobi triple product identity. The latter does not use the Jacobi triple product identity.

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6

Cao, Zhu. "A New Proof of Winquist's Identity." Integers 12, no. 2 (January 2012). http://dx.doi.org/10.1515/integ.2011.098.

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Book chapters on the topic "Winquist identity"

1

Hirschhorn, Michael D. "Winquist’s Identity." In The Power of q, 109–12. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57762-3_11.

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