By Dr Mike Hirschhorn

Journal articles

Hirschhorn MD; Sellers JA, 2005, 'Further results for partitions into four squares of equal parity', ARS Combinatoria, 76, pp. 33 - 45

Hirschhorn MD, 2005, 'Non-trivial intertwined second-order recurrence relations', Fibonacci Quarterly, 43, pp. 316 - 325

Hirschhorn MD, 2005, 'On representations of pi and squareroot 2', Australian Mathematical Society Gazette, 32, pp. 124 - 126

Hirschhorn MD, 2005, 'Ramanujan`s `most beautiful identity`', Australian Mathematical Society Gazette, 32, pp. 259 - 262

Cooper S; Gun S; Hirschhorn MD; Ramakrishnan B, 2005, 'Relations among Fourier coefficients of certain eta products', Integers: the Electronic Journal of Combinatorial Number Theory, 5, pp. A16

Hirschhorn MD, 2005, 'The number of representations of a number by various forms', Discrete Mathematics, 298, pp. 205 - 211, http://www.sciencedirect.com/science/article/B6V00-4GP7PD7-1/2/36a5fe822a28adf5954b53b42b640cf1

Doust IR; Hirschhorn MD; Ho J, 2005, 'Trigonometric identities, linear algebra, and computer algebra', American Mathematical Monthly, 112, pp. 155 - 164

Cooper S; Hirschhorn MD, 2004, 'A combinatorial proof of a result from number theory', Integers: the Electronic Journal of Combinatorial Number Theory, 4

Hirschhorn MD; Sellers JA, 2004, 'A different view of m-ary partitions', Australasian Journal of Combinatorics, 30, pp. 193 - 196

Hirschhorn MD; Sellers JA, 2004, 'On a problem of Lehmer on partitions into squares', Ramanujan Journal, 8, pp. 279 - 287

Hirschhorn MD; Sellers JA, 2004, 'Partitions into three triangular numbers', Australasian Journal of Combinatorics, 30, pp. 307 - 318

Cooper S; Hirschhorn MD, 2004, 'Results of Hurwitz type for three squares', Discrete Mathematics, 274, pp. 9 - 24

Sheppard C; Campbell S; Hirschhorn MD, 2004, 'Zernike expansion of separable functions of Cartesian coordinates', Applied Optics, 43, pp. 3963 - 3966

Brown PG; Hirschhorn MD, 2002, 'A note on the Pell equation x2-(m2-4)y2 =1', Australian Mathematical Society Gazette, 29, pp. 273 - 276

Hirschhorn MD, 2002, 'Binomial coefficient identities and hyjpergeometric series', Australian Mathematical Society Gazette, 29, pp. 203 - 208

Barrucand P; Hirschhorn MD, 2002, 'Formulae asociated with 5, 7, 9 and 11 squares', Bulletin of the Australian Mathematical Society, 65, pp. 503 - 510

Hirschhorn MD, 2002, 'K-Gon partitions', Bulletin of the Australian Mathematical Society, 66, pp. 149 - 150

Hirschhorn MD, 2002, 'On sums of squares', Australian Mathematical Society Gazette, 29, pp. 86 - 87

Barrucand P; Cooper S; Hirschhorn MD, 2002, 'Relations between squares and triangles', Discrete Mathematics, 248, pp. 245 - 247

Barrucand P; Cooper S; Hirschhorn MD, 2002, 'Results of Hurwitz type for five or more squares', Ramanujan Journal, 6, pp. 347 - 367

Hirschhorn MD, 2002, 'There are infinitely many prime numbers', Australian Mathematical Society Gazette, 29, pp. 103 - 103

Hirschhorn MD, 2001, 'On the expansion of a continued fraction of Gordon', Ramanujan Journal, 5, pp. 369 - 375, http://dx.doi.org/10.1023/A:1013939720688

Hirschhorn MD, 2001, 'On partitions into four distinct squares of equal parity', Australasian Journal of Combinatorics, 24, pp. 285 - 291

Cooper S; Hirschhorn MD, 2001, 'On some infinite product identities', Rocky Mountain Journal of Mathematics, pp. 131 - 139

Cooper S; Hirschhorn MD, 2001, 'On some sum-to-product identities', Bulletin of the Australian Mathematical Society, pp. 353 - 365

Hirschhorn MD, 2000, 'Parity results for certain partition functions', Ramanujan Journal, 4, pp. 129 - 135, http://dx.doi.org/10.1023/A:1009874919415

Hirschhorn MD, 2000, 'A proof of Eperson`s conjecture', Mathematical Gazette, pp. 442 - 446

Hirschhorn MD, 2000, 'An identity of Ramanujan, and applications', Contemporary Mathematics, pp. 229 - 234

Hirschhorn MD, 2000, 'Arithmetic consequences of Jacobi`s two-squares theorem', Ramanujan Journal, pp. 51 - 57

Hirschhorn MD, 2000, 'How many ways can a king cross the board?', Australian Mathematical Society Gazette, pp. 104 - 106

Hirschhorn MD, 2000, 'More on Cootie', College Mathematics Journal, pp. 126 - 128

Hirschhorn MD, 2000, 'Partial fractions and four classical theorems of number theory', American Mathematical Monthly, 107, pp. 260 - 263

Hirschhorn MD, 2000, 'Partiy results for certain partition functions', Ramanujan Journal, pp. 129 - 135

Cooper S; Hirschhorn MD; Lewis RA, 2000, 'Powers of Euler`s product and related identities', Ramanujan Journal, pp. 137 - 155

Hirschhorn MD, 2000, 'Some formulae for partitions into squares', Discrete Mathematics, pp. 225 - 228

Hirschhorn MD, 2000, 'Triangles with integer sides, revisited', Mathematics Magazine, pp. 53 - 56

Hirschhorn MD, 2000, 'Winquist and the Atkin- Swinnerton-Dyer partition congruences for modulus 11', Australasian Journal of Combinatorics, 22, pp. 101 - 104

Hirschhorn MD, 1999, 'A problem in dynamics', Australian Mathematical Society Gazette, pp. 34 - 41

Hirschhorn MD, 1999, 'Another short proof of Ramanujan`s mod 5 partition congruence, and more', American Mathematical Monthly, 106, pp. 580 - 583

Hirschhorn MD, 1999, 'Basis partitions and Rogers-Ramanujan partitions', Discrete Mathematics, 205, pp. 241 - 243, http://dx.doi.org/10.1016/S0012-365X(99)00030-8

Hirschhorn MD, 1999, 'Jacobi`s two-square theorem and related identities', Ramanujan Journal, 3, pp. 153 - 158, http://dx.doi.org/10.1023/A:1006993323652

Hirschhorn MD; Sellers JA, 1999, 'On representations of a number as a sum of three squares', Discrete Mathematics, 199, pp. 85 - 101

Hirschhorn MD; Sellers JA, 1999, 'Some parity results for 16-cores', Ramanujan Journal, pp. 281 - 296

Hirschhorn MD, 1999, 'The double-angle formulae', Australian Mathematical Society Gazette, pp. 171 - 172

Hirschhorn A; Hirschhorn MD; Hirschhorn P, 1999, 'The pizza theorem', Australian Mathematical Society Gazette, pp. 120 - 121

Hirschhorn MD, 1998, 'A new Formula for Pi', Australian Mathematical Society Gazette, pp. 82 - 83

Hirschhorn MD, 1998, 'A trigonometric identity and Morley`s theorem', Australian Mathematical Society Gazette, pp. 198 - 199

Hirschhorn MD, 1998, 'On the expansion of Ramanujan`s continued fraction', Ramanujan Journal, 2, pp. 521 - 527

Hirschhorn MD, 1998, 'Proofs of some hyperelliptic function identities', Bulletin of the Australian Mathematical Society, 58, pp. 465 - 468

Hirschhorn MD, 1998, 'The fundamental theorem of algebra', College Mathematics Journal, pp. 276 - 277

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