Dr Mike Hirschhorn

Hirschhorn MD, 2017, Erratum to: The Power of q Developments in Mathematics 49, 10.1007/978-3-319-57762-3, http://dx.doi.org/10.1007/978-3-319-57762-3_44

Hirschhorn MD, 2017, The Power of q A Personal Journey, Springer

Chern S; Hirschhorn MD, 2021, 'Partitions into Distinct Parts Modulo Powers of 5', in George E. Andrews 80 Years of Combinatory Analysis, pp. 305 - 328, http://dx.doi.org/10.1007/978-3-030-57050-7_17

Hirschhorn MD, 2017, 'Introduction', in Developments in Mathematics, pp. 1 - 17, http://dx.doi.org/10.1007/978-3-319-57762-3_1

da Silva R; Hirschhorn MD; Sellers JA, 2022, 'Elementary proofs of infinitely many congruences for k-elongated partition diamonds', Discrete Mathematics, vol. 345, http://dx.doi.org/10.1016/j.disc.2022.113021

Chern S; Hirschhorn MD, 2021, 'Some results concerning partitions with designated summands', Ramanujan Journal, vol. 54, pp. 385 - 395, http://dx.doi.org/10.1007/s11139-019-00198-1

Hirschhorn MD, 2020, 'Cubic partitions modulo powers of 5', Ramanujan Journal, vol. 51, pp. 67 - 84, http://dx.doi.org/10.1007/s11139-018-0074-z

Hirschhorn MD; Sellers JA, 2020, 'Congruences for overpartitions with restricted odd differences', Ramanujan Journal, vol. 53, pp. 167 - 180, http://dx.doi.org/10.1007/s11139-019-00156-x

Chern S; Hirschhorn MD, 2019, 'Partitions into Distinct Parts Modulo Powers of 5', Annals of Combinatorics, vol. 23, pp. 659 - 682, http://dx.doi.org/10.1007/s00026-019-00439-6

Hirschhorn MD, 2019, 'Two remarkable q-series expansions', Ramanujan Journal, vol. 49, pp. 451 - 463, http://dx.doi.org/10.1007/s11139-018-0016-9

Hirschhorn MD; Sellers JA, 2019, 'PARITY RESULTS for PARTITIONS WHEREIN EACH PART APPEARS AN ODD NUMBER of TIMES', Bulletin of the Australian Mathematical Society, vol. 99, pp. 51 - 55, http://dx.doi.org/10.1017/S0004972718001041

Hirschhorn MD, 2018, 'A conjecture of B. Lin on cubic partition pairs', Ramanujan Journal, vol. 45, pp. 781 - 795, http://dx.doi.org/10.1007/s11139-017-9926-1

Hirschhorn MD, 2018, 'Broken 2-diamond partitions modulo 5', Ramanujan Journal, vol. 45, pp. 517 - 520, http://dx.doi.org/10.1007/s11139-016-9863-4

Hirschhorn MD, 2018, 'Congruences modulo 5 for partitions into at most four parts', Fibonacci Quarterly, vol. 56, pp. 32 - 37

Hirschhorn MD, 2018, 'Partitions in 3 colours', Ramanujan Journal, vol. 45, pp. 399 - 411, http://dx.doi.org/10.1007/s11139-016-9835-8

Gireesh DS; Hirschhorn MD; Naika MSM, 2017, 'On 3-regular partitions with odd parts distinct', Ramanujan Journal, vol. 44, pp. 227 - 236, http://dx.doi.org/10.1007/s11139-016-9814-0

Hirschhorn MD, 2017, 'Partitions and powers of 13', Journal of Number Theory, vol. 178, pp. 146 - 157, http://dx.doi.org/10.1016/j.jnt.2017.02.016

Hirschhorn MD, 2016, 'On the 2- and 4-dissections of the Rogers–Ramanujan functions', Ramanujan Journal, vol. 40, pp. 227 - 235, http://dx.doi.org/10.1007/s11139-014-9657-5

Hirschhorn MD, 2016, 'Some congruences for 6-colored generalized Frobenius partitions', Ramanujan Journal, vol. 40, pp. 463 - 471, http://dx.doi.org/10.1007/s11139-015-9700-1

Hirschhorn MD; Sellers JA, 2016, 'Infinitely many congruences modulo 5 for 4-colored Frobenius partitions', Ramanujan Journal, vol. 40, pp. 193 - 200, http://dx.doi.org/10.1007/s11139-014-9652-x

Chen SC; Hirschhorn MD; Sellers JA, 2015, 'Arithmetic properties of Andrews' singular overpartitions', International Journal of Number Theory, vol. 11, pp. 1463 - 1476, http://dx.doi.org/10.1142/S1793042115400011

Eichhorn DA; Hirschhorn MD, 2015, 'Notes on the spt function of George E. Andrews', Ramanujan Journal, vol. 38, pp. 17 - 34, http://dx.doi.org/10.1007/s11139-013-9554-3

Hirschhorn MD, 2015, 'A connection between π and Φ', The Fibonacci Quarterly, vol. 53, pp. 42 - 47, http://www.fq.math.ca/53-1.html

Hirschhorn MD, 2015, 'Binomial identities and congruences for Euler numbers', Fibonacci Quarterly, vol. 53, pp. 319 - 322

Hirschhorn MD, 2015, 'Elementary analysis in Ramanujan’s lost notebook', Ramanujan Journal, vol. 37, pp. 641 - 651, http://dx.doi.org/10.1007/s11139-013-9551-6

Hirschhorn MD, 2015, 'Ramanujan’s Last Problem', The Fibonacci Quarterly, vol. 53, pp. 48 - 52

Hirschhorn MD, 2015, 'Some interesting q-series identities', Ramanujan Journal, vol. 36, pp. 297 - 304, http://dx.doi.org/10.1007/s11139-014-9646-8

Hirschhorn MD; Toh PC, 2015, 'On a certain vector crank modulo 7', Electronic Journal of Combinatorics, vol. 22, http://dx.doi.org/10.37236/4316

Hirschhorn MD, 2014, 'A short and simple proof of Ramanujan's mod 11 partition congruence', Journal of Number Theory, vol. 139, pp. 205 - 209, http://dx.doi.org/10.1016/j.jnt.2013.12.014

Hirschhorn MD, 2014, 'Stirling without Wallis', Fibonacci Quarterly, vol. 52, pp. 321 - 324

Hirschhorn MD, 2014, 'The number of different parts in the partitions of n', Fibonacci Quarterly, vol. 52, pp. 10 - 15

Hirschhorn MD; Sellers JA, 2014, 'A congruence modulo 3 for partitions into distinct non-multiples of four', Journal of Integer Sequences, vol. 17

Hirschhorn MD; Sellers JA, 2014, 'Arithmetic properties of 1-shell totally symmetric plane partitions', Bulletin of the Australian Mathematical Society, vol. 89, pp. 473 - 478

Hirschhorn MD; Villarino MB, 2014, 'A refinement of Ramanujan's factorial approximation', Ramanujan Journal, vol. 34, pp. 73 - 81, http://dx.doi.org/10.1007/s11139-013-9494-y

Hirschhorn MD, 2013, 'A NAIVE PROOF THAT F-5n equivalent to 0 (mod 5)', FIBONACCI QUARTERLY, vol. 51, pp. 256 - 258, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000217590800008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Hirschhorn MD, 2013, 'A constant in a formula of Ramanujan', Mathematical Gazette, vol. 97, pp. 276, http://dx.doi.org/10.1017/S0025557200005921

Hirschhorn MD, 2013, 'A sequence considered by Shaun Cooper', New Zealand Journal of Mathematics (Online), vol. 43, pp. 31 - 36, http://web.maths.unsw.edu.au/~mikeh/webpapers/paper183.pdf

Hirschhorn MD, 2013, 'Estimating the apery numbers II', Fibonacci Quarterly, vol. 51, pp. 215 - 217

Hirschhorn MD, 2013, 'Factorizations of certain q-series identities of Ramanujan and others', Ramanujan Journal, vol. 31, pp. 15 - 22, http://dx.doi.org/10.1007/s11139-012-9419-1

Hirschhorn MD, 2013, 'THE ASYMPTOTIC BEHAVIOR OF Pi(n)(k=0) (n k)', FIBONACCI QUARTERLY, vol. 51, pp. 163 - 173, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000217589800011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Hirschhorn MD, 2013, 'The asymptotic behavior of \prod_{k=1}^n\binom{n,k}', Fibonacci Quarterly, vol. 51, pp. 163 - 173

Hirschhorn MD, 2013, 'The number of 1's in the partitions of n', Fibonacci Quarterly, vol. 51, pp. 326 - 329

Hirschhorn MD; Sinescu V, 2013, 'Elementary Algebra in Ramanujan’s Lost Notebook', Fibonacci Quarterly, vol. 51, pp. 123 - 129, http://web.maths.unsw.edu.au/~mikeh/webpapers/paper187.pdf

Hirschhorn MD; Villarino MB, 2013, 'A naive proof that F5n ≡ 0 (mod 5)', Fibonacci Quarterly, vol. 51, pp. 256 - 258

Hirschhorn MD, 2012, 'A note on overcubic partitions', New Zealand Journal of Mathematics (Online), vol. 42, pp. 229 - 234, http://web.maths.unsw.edu.au/~mikeh/webpapers/paper181.pdf

Hirschhorn MD, 2012, 'Estimating the Apery numbers', Fibonacci Quarterly, vol. 50, pp. 129 - 131

Hirschhorn MD, 2012, 'Inequalities for Euler's constant', Mathematical Gazette, vol. 96, pp. 133 - 136, http://dx.doi.org/10.1017/S0025557200004174

Hirschhorn MD, 2012, 'Ramanujan's enigmatic formula for the harmonic series', Ramanujan Journal, vol. 27, pp. 343 - 347, http://dx.doi.org/10.1007/s11139-011-9322-1

Hirschhorn MD, 2012, 'The number of sequences of n tosses of a coin with k pairs of consecutive heads', Fibonacci Quarterly, vol. 50, pp. 140 - 143

Hirschhorn MD, 2012, '“Algebraical oddities” in Ramanujan’s lost notebook', Ramanujan Journal, vol. 29, pp. 69 - 77, http://dx.doi.org/10.1007/s11139-012-9395-5

Cooper S; Hirschhorn MD, 2011, 'Factorizations that involve Ramanujan’s function k(q) = r(q)r 2(q 2)', ACTA Mathematica Sinica - English Series, vol. 27, pp. 2301 - 2318, http://dx.doi.org/10.1007/s10114-011-0202-9

Hirschhorn M, 2011, '95.35 A surprising appearance of zeta(3)', MATHEMATICAL GAZETTE, vol. 95, pp. 313 - 313, http://dx.doi.org/10.1017/S0025557200003120

Hirschhorn M, 2011, '95.40 Lord Brouncker's continued fraction for pi', MATHEMATICAL GAZETTE, vol. 95, pp. 322 - 326, http://dx.doi.org/10.1017/S002555720000317X

Hirschhorn MD, 2011, 'A Simple Proof that ζ(2) = π²/6', Mathematical Intelligencer, vol. 33, pp. 81 - 82, http://dx.doi.org/10.1007/s00283-011-9217-4

Hirschhorn MD, 2011, 'A note on Somos' quadratic recurrence constant', Journal of Number Theory, vol. 131, pp. 2061 - 2063, http://dx.doi.org/10.1016/j.jnt.2011.04.010

Hirschhorn MD, 2011, 'A simple proof that zeta(2) = pi2/6', Mathematical Intelligencer, vol. 33, pp. 81 - 82, http://dx.doi.org/10.1007/s00283-011-9217-4

Hirschhorn MD, 2011, 'A triangle-folding problem', MATHEMATICAL GAZETTE, vol. 95, pp. 514 - 517, http://dx.doi.org/10.1017/S002555720000365X

Hirschhorn MD, 2011, 'An interesting integral', MATHEMATICAL GAZETTE, vol. 95, pp. 90 - 91, http://dx.doi.org/10.1017/S0025557200002436

Hirschhorn MD, 2011, 'Approximating Euler's constant', Fibonacci Quarterly, vol. 49, pp. 243 - 248

Hirschhorn MD, 2011, 'Commensurable triangles', MATHEMATICAL GAZETTE, vol. 95, pp. 61 - 63, http://dx.doi.org/10.1017/S0025557200002345

Hirschhorn MD, 2011, 'Factorization of lens sequences', Fibonacci Quarterly, vol. 49, pp. 110 - 115, http://dx.doi.org/10.1007/s11139-010-9272-z

Hirschhorn MD, 2011, 'Maximisation/minimisation without calculus', MATHEMATICAL GAZETTE, vol. 95, pp. 83 - 85, http://dx.doi.org/10.1017/S0025557200002400

Hirschhorn MD, 2011, 'On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal', Ramanujan Journal, vol. 24, pp. 85 - 92, http://dx.doi.org/10.1007/s11139-010-9272-z

Hirschhorn MD, 2011, 'Ramanujan's "most beautiful identity"', American Mathematical Monthly, vol. 118, pp. 839 - 845, http://dx.doi.org/10.4169/amer.math.monthly.118.09.839

Hirschhorn MD, 2011, 'Tenth order algorithms for calculating root 2, (sic)', MATHEMATICAL GAZETTE, vol. 95, pp. 526 - 528, http://dx.doi.org/10.1017/S0025557200003697

Hirschhorn MD, 2011, 'When is the sum of consecutive squares a square?', MATHEMATICAL GAZETTE, vol. 95, pp. 511 - 512, http://dx.doi.org/10.1017/S0025557200003636

Andrews GE; Hirschhorn MD; Sellers JA, 2010, 'Arithmetic properties of partitions with even parts distinct', Ramanujan Journal, vol. 23, pp. 169 - 181, http://dx.doi.org/10.1007/s11139-009-9158-0

Hirschhorn MD; Sellers JA, 2010, 'Arithmetic properties of partitions with odd parts distinct', Ramanujan Journal, vol. 22, pp. 273 - 284, http://dx.doi.org/10.1007/s11139-010-9225-6

Hirschhorn MD; Sellers JA, 2010, 'Elementary proofs of parity results for 5–regular partitions', Bulletin of the Australian Mathematical Society, vol. 81, pp. 58 - 63, http://dx.doi.org/10.1017/S0004972709000525

Hirschhorn MD, 2009, 'A problem involving binomial coefficients', Australian Mathematical Society Gazette, vol. 36, pp. 273 - 275

Hirschhorn MD, 2009, 'Comment on 'Counting paths in a grid'', Australian Mathematical Society Gazette, vol. 36, pp. 50 - 52

Hirschhorn MD, 2009, 'On recurrences of Fahr and Ringel arising in graph theory', Journal of Integer Sequences, vol. 12, pp. Article 09.6.8

Hirschhorn MD; Rodseth OJ; Sellers JA, 2009, 'Infinite families of divisibility properties modulo 4 for non-squashing partitions into district parts', Integers, vol. 9, pp. 427 - 433

Hirschhorn MD; Sellers JA, 2009, 'Elementary proofs of various facts about 3-cores', Bulletin of the Australian Mathematical Society, vol. 79, pp. 507 - 512, http://dx.doi.org/10.1017/S0004972709000136

Baruah ND; Cooper S; Hirschhorn MD, 2008, 'Sums of Squares and sums of triangular numbers induced by partitions of 8', International Journal of Number Theory, vol. 4, pp. 525 - 538, http://dx.doi.org/10.1142/S179304210800150X

Hirschhorn MD, 2008, 'A letter from Fitzroy house', American Mathematical Monthly, vol. 115, pp. 563 - 566

Hirschhorn MD, 2008, 'Pythagoras' Theorem', MATHEMATICAL GAZETTE, vol. 92, pp. 565 - 565, http://dx.doi.org/10.1017/S0025557200183950

Hirschhorn MD, 2008, 'Three scenarios involving elastic collisions', MATHEMATICAL GAZETTE, vol. 92, pp. 154 - 158, http://dx.doi.org/10.1017/S0025557200182816

Hirschhorn MD; Sellers JA, 2008, 'Enumeration of Unigraphical Partitions', Journal of Integer Sequences, vol. 2008

Benjamin AT; Hirschhorn MD, 2007, 'A combinatorial solution to intertwined recurrences', Australasian Journal of Combinatorics, vol. 37, pp. 101 - 116

Cooper S; Hirschhorn MD, 2007, 'On the number of primitive representations of integers as sums of squares', Ramanujan Journal, vol. 13, pp. 7 - 25, http://dx.doi.org/10.1007/s11139-006-0240-6

Hirschhorn MD, 2007, 'Correspondence', MATHEMATICAL GAZETTE, vol. 91, pp. 560 - 560, http://dx.doi.org/10.1017/S0025557200182348

Hirschhorn MD, 2007, 'Still shorter [2]', Mathematical Intelligencer, vol. 29, pp. 5, http://dx.doi.org/10.1007/BF02986196

Hirschhorn MD, 2007, 'Teaching Notes Teaching integration', MATHEMATICAL GAZETTE, vol. 91, pp. 547 - 547, http://dx.doi.org/10.1017/S0025557200182294

Hirschhorn MD, 2007, 'The AM-GM inequality', Mathematical Intelligencer, vol. 29, pp. 7 - 7, http://dx.doi.org/10.1007/BF02986168

Hirschhorn MD, 2007, 'The alternating harmonic series', Mathematical Intelligencer, vol. 29, pp. 4 - 5

Hirschhorn MD; Sellers JA, 2007, 'On recent congruence results of Andrews and Paule for broken k-diamonds', Bulletin of the Australian Mathematical Society, vol. 75, pp. 121 - 126

Cooper S; Hirschhorn M, 2006, 'Sums of squares and sums of triangular numbers', Georgian Mathematical Journal, vol. 13, pp. 675 - 686, http://dx.doi.org/10.1515/GMJ.2006.675

Hirschhorn MD, 2006, '90.04 The number of partitions of a number into distinct squares', MATHEMATICAL GAZETTE, vol. 90, pp. 80 - 87, http://dx.doi.org/10.1017/S0025557200179070

Hirschhorn MD, 2006, '90.16 Evaluating (sic) (a', MATHEMATICAL GAZETTE, vol. 90, pp. 114 - 116, http://dx.doi.org/10.1017/S0025557200179197

Hirschhorn MD, 2006, '90.54 The new neighbours problem: a solution', MATHEMATICAL GAZETTE, vol. 90, pp. 321 - 324, http://dx.doi.org/10.1017/S0025557200179884

Hirschhorn MD, 2006, 'Coupled second-order recurrences', Fibonacci Quarterly, vol. 44, pp. 20 - 25

Hirschhorn MD, 2006, 'Coupled third-order recurrences', Fibonacci Quarterly, vol. 44, pp. 26 - 31

Hirschhorn MD, 2006, 'On Euler's constant', MATHEMATICAL GAZETTE, vol. 90, pp. 295 - 298, http://dx.doi.org/10.1017/S002555720017977X

Hirschhorn MD, 2006, 'The case of the mysterious sevens', International Journal of Number Theory, vol. 2, pp. 213 - 216

Hirschhorn MD; Sellers JA, 2006, 'Arithmetic properties of overpartitions into odd parts', Annals of Combinatorics, vol. 10, pp. 353 - 367, http://dx.doi.org/10.1007/s00026-006-0293-7

Angell DD; Hirschhorn MD, 2005, 'A remarkable continued fraction', Bulletin of the Australian Mathematical Society, vol. 72, pp. 45 - 52

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, vol. 5, pp. A16

Doust IR; Hirschhorn MD; Ho J, 2005, 'Trigonometric identities, linear algebra, and computer algebra', American Mathematical Monthly, vol. 112, pp. 155 - 164, http://dx.doi.org/10.2307/30037413

Hirschhorn MD, 2005, 'An identity involving binomial coefficients', MATHEMATICAL GAZETTE, vol. 89, pp. 256 - 258, http://dx.doi.org/10.1017/S0025557200177745

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

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

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

Hirschhorn MD, 2005, 'The number of representations of a number by various forms', Discrete Mathematics, vol. 298, pp. 205 - 211, http://dx.doi.org/10.1016/j.disc.2004.08.045

Hirschhorn MD; Sellers JA, 2005, 'An infinite family of overpartition congruences modulo 12', Integers: the Electronic Journal of Combinatorial Number Theory, vol. 5, pp. A20 - A20

Hirschhorn MD; Sellers JA, 2005, 'Arithmetic relations for overpartitions', Journal of Combinatorial Mathematics and Combinatorial Computing, vol. 53, pp. 65 - 73

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

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

Cooper S; Hirschhorn MD, 2004, 'Results of Hurwitz type for three squares', Discrete Mathematics, vol. 274, pp. 9 - 24, http://dx.doi.org/10.1016/S0012-365X(03)00079-7

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

Hirschhorn MD; Sellers JA, 2004, 'On a problem of Lehmer on partitions into squares', Ramanujan Journal, vol. 8, pp. 279 - 287, http://dx.doi.org/10.1007/s11139-004-0138-0

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

Sheppard C; Campbell S; Hirschhorn MD, 2004, 'Zernike expansion of separable functions of Cartesian coordinates', Applied Optics, vol. 43, pp. 3963 - 3966, http://dx.doi.org/10.1364/AO.43.003963

Barrucand P; Cooper S; Hirschhorn MD, 2002, 'Relations between squares and triangles', Discrete Mathematics, vol. 248, pp. 245 - 247, http://dx.doi.org/10.1016/S0012-365X(01)00344-2

Barrucand P; Cooper S; Hirschhorn MD, 2002, 'Results of Hurwitz type for five or more squares', Ramanujan Journal, vol. 6, pp. 347 - 367, http://dx.doi.org/10.1023/A:1019753500261

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

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

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

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

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

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

Cooper S; Hirschhorn MD, 2001, 'On some infinite product identities', Rocky Mountain Journal of Mathematics, vol. 31, pp. 131 - 139, http://dx.doi.org/10.1216/rmjm/1008959672

Cooper S; Hirschhorn MD, 2001, 'On some sum-to-product identities', Bulletin of the Australian Mathematical Society, vol. 63, pp. 353 - 365

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

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

Cooper S; Hirschhorn MD; Lewis RA, 2000, 'Powers of Euler`s product and related identities', Ramanujan Journal, vol. 4, pp. 137 - 155, http://dx.doi.org/10.1023/A:1009827103485

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, vol. 4, pp. 51 - 57, http://dx.doi.org/10.1023/A:1009877906185

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

Hirschhorn MD, 2000, 'Partial fractions and four classical theorems of number theory', American Mathematical Monthly, vol. 107, pp. 260 - 263, http://dx.doi.org/10.2307/2589321

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

Hirschhorn MD, 2000, 'Some formulae for partitions into squares', Discrete Mathematics, vol. 211, pp. 225 - 228, http://dx.doi.org/10.1016/S0012-365X(99)00159-4

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, vol. 22, pp. 101 - 104

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

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, vol. 106, pp. 580 - 583

Hirschhorn MD, 1999, 'Basis partitions and Rogers-Ramanujan partitions', Discrete Mathematics, vol. 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, vol. 3, pp. 153 - 158, http://dx.doi.org/10.1023/A:1006993323652

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

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

Hirschhorn MD; Sellers JA, 1999, 'Some parity results for 16-cores', Ramanujan Journal, vol. 3, pp. 281 - 296, http://dx.doi.org/10.1023/A:1009879303577

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, vol. 2, pp. 521 - 527, http://dx.doi.org/10.1023/A:1009789012006

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

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

Hirschhorn MD, 1998, 'The sum sqrt 1 + sqrt 2 + ¿ + sqrt n without integration', Australian Mathematical Society Gazette, pp. 143 - 145

Hirschhorn MD, 1998, 'Three classical results or representations of a number', Seminaire Lotharingien de Combinatoire, pp. 41

Hirschhorn MD, 1998, 'Two diophantine equations studied by Ramanujan', Mathematics Magazine, pp. 386 - 388

Hirschhorn MD, 1998, 'Two or three identities of Ramanujan', American Mathematical Monthly, vol. 105, pp. 52 - 54, http://dx.doi.org/10.2307/2589526

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, 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, vol. 73, pp. 346 - 347, http://dx.doi.org/10.1016/S0097-3165(96)80010-0

Hirschhorn MD, 1996, 'Calkin`s binomial identity', Discrete Mathematics, vol. 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, vol. 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, vol. 60, pp. 51 - 69, http://dx.doi.org/10.1006/jnth.1996.0112

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

Hirschhorn MD, 1995, 'A new proof of an old formula', Bulletin of the ICA, vol. 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, vol. 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, vol. 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, vol. 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, vol. 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, vol. 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, vol. 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, vol. 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, vol. 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, vol. 32, pp. 61 - 67, http://dx.doi.org/10.1017/S144678870002440X

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

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

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

Hirschhorn MD, 1980, 'Two further ramanujan pairs', Journal of the Australian Mathematical Society, vol. 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, vol. 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, vol. 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, vol. 78, pp. 437 - 442, http://dx.doi.org/10.1017/S0305004100051896

Hirschhorn MD, 1974, 'A continued fraction', Duke Mathematical Journal, vol. 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, vol. 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, vol. 39, pp. 789 - 791, http://dx.doi.org/10.1215/S0012-7094-72-03986-5

Hirschhorn MD, 2016, 'Ramanujan’s tau function', in Springer Proceedings in Mathematics and Statistics, Gainesville, FL, USA, pp. 311 - 328, presented at Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Gainesville, FL, USA, 17 March 2016 - 21 March 2016, http://dx.doi.org/10.1007/978-3-319-68376-8_18

Hirschhorn MD; Mcgowan JA, 1999, 'Algebraic consequences of Jacobi`s two- and four-square theorems', in Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, University of Florida, Gainesville, presented at Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, University of Florida, Gainesville, 11 November 1999 - 13 November 1999

Hirschhorn MD; Sellers JA, 1999, 'Some relations for partitions into four squares', in international workshop special functions, international workshop special functions, Hong Kong, presented at international workshop special functions, Hong Kong, 21 June 1999 - 25 June 1999