Hirschhorn's identities

Bulletin of the Australian Mathematical Society

Volumn 60, Issue 1, 1999, Pages 73-80

  Hammond, Paul ^a   Lewis, Richard ^a   Liu, Zhi Guo ^a  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033177381     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700033347     Document Type: Article

References (10)

1. G.E. Andrews, R.P. Lewis and Z-G. Liu, 'An Identity relating a theta function and a sum of Lambert series', (in preparation).
2. A.O.L. Atkin and P. Swinnerton-Dyer, 'Some properties of partitions', Proc. London Math. Soc. (3) 4 (1954), 84-106.
3. J.A. Ewell, 'Arithmetical consequences of a sextuple product identity', Rocky Mountain J. Math. 25 (1995), 1287-1293.
4. G.H. Hardy and E.M. Wright, The theory of numbers, (3rd edition (Oxford University Press, 1954).
5. M.D. Hirschhorn, 'A simple proof of Jacobi's four-square theorem', J. Austral. Math. Soc. Ser. A 32 (1982), 61-67.
6. R.P. Lewis, 'A combinatorial proof of the triple product identity', Amer. Math. Monthly 91 (1984), 420-423.
7. R.P. Lewis, 'On the ranks of partitions modulo 9', Bull. London Math. Soc. 23 (1991), 417-421.
8. L.J. Slater, Generalized hypergeometric functions (Cambridge University Press, Cambridge, U.K., 1966).
9. L. Winquist, 'An elementary proof of p(11m + 6) = 0 (mod 11)', J. Comb. Theory 6 (1969), 56-59.
10. E.T. Whittaker and G.N. Watson, A course of modern analysis, (4th edition) (Cambridge University Pess, New York, 1950).