## Rocky Mountain Journal of Mathematics

### On Some Finite Product Identities

#### Article information

Source
Rocky Mountain J. Math. Volume 31, Number 1 (2001), 131-139.

Dates
First available in Project Euclid: 5 June 2007

https://projecteuclid.org/euclid.rmjm/1181070243

Digital Object Identifier
doi:10.1216/rmjm/1008959672

Mathematical Reviews number (MathSciNet)
MR1821372

Zentralblatt MATH identifier
0993.05012

Subjects
Primary: 05A19: Combinatorial identities, bijective combinatorics
Secondary: 33D10

#### Citation

Cooper, Shaun; Hirschhorn, Michael. On Some Finite Product Identities. Rocky Mountain J. Math. 31 (2001), no. 1, 131--139. doi:10.1216/rmjm/1008959672. https://projecteuclid.org/euclid.rmjm/1181070243

#### References

• George Andrews, Richard Lewis and Zhi-Guo Liu, An identity relating a theta function to a sum of Lambert series, preprint.
• S. Bhargava, Chandrashekar Adiga and D.D. Somashekara, Parity results deducible from certain theta function identities found in Chapter $16$ of Ramanujan's second note-book, Math. Student 57 (1989), 121-132.
• Richard Blecksmith, John Brillhart and Irving Gerst, Parity results for certain partition functions and identities similar to theta function identities, Math. Comp. 48 (1987), 29-38.
• --------, Some infinite product identities, Math. Comp. 51 (1988), 301-314.
• --------, New proofs for two infinite product identities, Rocky Mountain J. Math. 22 (1992), 819-823.
• G. Gasper and M. Rahman, Basic hypergeometric series, Cambridge University Press, Cambridge, 1990.
• Frank Garvan, The Maple QSERIES Package, Version 0.2, http://www.math.ufl.edu/frank/qmaple/qmaple.html.
• Paul Hammond, Richard Lewis and Zhi-Guo Liu, Hirschhorn's identities, Bull. Austral. Math. Soc. 60 (1999), 73-80.
• Richard Lewis, On the ranks of partitions modulo $9$, Bull. London Math. Soc. 23 (1991), 417-421.
• Richard Lewis and Zhi-Guo Liu, A conjecture of Hirschhorn on the $4$-dissection of Ramanujan's continued fraction, preprint.
• Lucy Slater, A note on equivalent product theorems, Math. Gazette 38 (1954), 127-128.
• --------, Generalised hypergeometric functions, Cambridge University Press, Cambridge, 1966.
• E.T. Whittaker and G.N. Watson, A course of modern analysis, 4th ed., Cambridge University Press, London, 1927.