By Dr Mike Hirschhorn

Journal articles

Hirschhorn MD, 1997, 'Radius of a buried pipe', Australian Mathematical Society Gazette, pp. 180 - 181

Hirschhorn MD, 1997, 'The volume of a cone, without calculus', Mathematics Magazine, pp. 295 - 296

Hirschhorn MD; Sellers JA, 1996, 'Two congruences involving 4-cores', Electronic Journal of Combinatorics, 3, pp. 1 - 8

Hirschhorn MD, 1996, 'A proof in the spirit of Zeilberger of an amazing identity of Ramanujan', Mathematics Magazine, pp. 267 - 269

Hirschhorn MD, 1996, 'A reformulation of Ramanujan`s partition congruences', Journal of Combinatorial Theory Series A, 73, pp. 346 - 347, http://dx.doi.org/10.1016/S0097-3165(96)80010-0

Hirschhorn MD, 1996, 'Calkin`s binomial identity', Discrete Mathematics, 159, pp. 273 - 278, http://dx.doi.org/10.1016/0012-365X(95)00086-C

Hirschhorn MD; Sellers JA, 1996, 'On representations of a number as a sum of three triangles', ACTA Arithmetica, 77, pp. 289 - 301, http://dx.doi.org/10.4064/aa-77-3-289-301

Hirschhorn MD; Sellers JA, 1996, 'Some amazing facts about 4-cores', Journal of Number Theory, pp. 51 - 69

Hirschhorn MD, 1995, 'A new proof of an old formula', Bulletin of the ICA, 13, pp. 127

Hirschhorn MD, 1995, 'An amazing identity of Ramanujan', Mathematics Magazine, pp. 199 - 201

Hirschhorn MD, 1994, 'Ramanujan's partition congruences', Discrete Mathematics, 131, pp. 351 - 355, http://dx.doi.org/10.1016/0012-365X(94)90397-2

Hirschhorn MD, 1994, 'Several Identities in Statistical Mechanics', International Journal of Mathematics and Mathematical Sciences, 17, pp. 817 - 820, http://dx.doi.org/10.1155/S0161171294001146

Hirschhorn MD, 1993, 'On the parity of p(n), II', Journal of Combinatorial Theory, Series A, 62, pp. 128 - 138, http://dx.doi.org/10.1016/0097-3165(93)90075-J

Hirschhorn MD, 1988, 'A generalisation of the quintuple product identity', Journal of the Australian Mathematical Society, 44, pp. 42 - 45, http://dx.doi.org/10.1017/S1446788700031359

Hirschhorn MD, 1987, 'A simple proof of Jacobi's four-square theorem', Proceedings of the American Mathematical Society, 101, pp. 436 - 438, http://dx.doi.org/10.1090/S0002-9939-1987-0908644-9

Hirschhorn MD; Hunt DC, 1985, 'Equilateral convex pentagons which tile the plane', Journal of Combinatorial Theory, Series A, 39, pp. 1 - 18, http://dx.doi.org/10.1016/0097-3165(85)90078-0

Guttmann AJ; Hirschhorn M, 1984, 'Comment on the number of spiral self-avoiding walks', Journal of Physics A: General Physics, 17, pp. 3613 - 3614, http://dx.doi.org/10.1088/0305-4470/17/18/029

Hirschhorn MD, 1983, 'A Simple proof of an identity of Ramanujan', Journal of the Australian Mathematical Society, 34, pp. 31 - 35, http://dx.doi.org/10.1017/S1446788700019728

Hirschhorn MD, 1982, 'A Simple Proof of Jacobi’s Four-Square Theorem', Journal of the Australian Mathematical Society, 32, pp. 61 - 67, http://dx.doi.org/10.1017/S144678870002440X

Hirschhorn MD; Hunt DC, 1981, 'A simple proof of the Ramanujan conjecture for powers of 5', Journal fur die Reine und Angewandte Mathematik, 1981, pp. 1 - 17, http://dx.doi.org/10.1515/crll.1981.326.1

Hirschhorn MD, 1981, 'Infinitely many identities of kolberg type', Journal of the Australian Mathematical Society, 31, pp. 20 - 25, http://dx.doi.org/10.1017/S1446788700018450

Hirschhorn MD, 1980, 'A continued fraction of ramanujan', Journal of the Australian Mathematical Society, 29, pp. 80 - 86, http://dx.doi.org/10.1017/S1446788700020954

Hirschhorn MD, 1980, 'Two further ramanujan pairs', Journal of the Australian Mathematical Society, 30, pp. 1 - 4, http://dx.doi.org/10.1017/S1446788700021856

Hirschhorn MD, 1979, 'Some partition theorems of the Rogers-Ramanujan type', Journal of Combinatorial Theory, Series A, 27, pp. 33 - 37, http://dx.doi.org/10.1016/0097-3165(79)90005-0

Hirschhorn MD, 1976, 'Simple proofs of identities of MacMahon and Jacobi', Discrete Mathematics, 16, pp. 161 - 162, http://dx.doi.org/10.1016/0012-365X(76)90144-8

Hirschhorn MD; Loxton JH, 1975, 'Congruence properties of the binary partition function', Mathematical Proceedings of the Cambridge Philosophical Society, 78, pp. 437 - 442, http://dx.doi.org/10.1017/S0305004100051896

Hirschhorn MD, 1974, 'A continued fraction', Duke Mathematical Journal, 41, pp. 27 - 33, http://dx.doi.org/10.1215/S0012-7094-74-04104-0

Hirschhorn MD, 1973, 'A continued fraction of Carlitz', Duke Mathematical Journal, 40, pp. 77 - 80, http://dx.doi.org/10.1215/S0012-7094-73-04008-8

Hirschhorn MD, 1972, 'Partitions and ramanujan’s continued fraction', Duke Mathematical Journal, 39, pp. 789 - 791, http://dx.doi.org/10.1215/S0012-7094-72-03986-5

Back to profile page